Question 1

Particles (mass of each = 0.20 kg) are placed at the 40-cm and 100-cm marks of a meter stick of negligible mass. This rigid body is free to rotate about a frictionless pivot at the 0-cm end. The body is released from rest in the horizontal position. What is the initial angular acceleration of the body?

A)12 rad/s²
B)5.9 rad/s²
C)8.4 rad/s²
D)5.4 rad/s²
E)17 rad/s²

Accepted Answer

12 rad/s<sup>2</sup>

Question 2

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s². In a 4.0-s interval the wheel turns through an angle of 80 radians. Assuming the wheel started from rest, how long had it been in motion at the start of the 4.0-s interval?

A)2.5 s
B)4.0 s
C)3.5 s
D)3.0 s
E)4.5 s

Accepted Answer

3.0 s

Question 3

A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0-s interval the angular velocity increases to 40 rad/s. Assume that the angular acceleration was constant during the 5.0-s interval. How many revolutions does the wheel turn through during the 5.0-s interval?

A)20 rev
B)24 rev
C)32 rev
D)28 rev
E)39 rev

Accepted Answer

First, we need to find the angular acceleration using the formula:

angular acceleration (alpha) = (final angular velocity - initial angular velocity) / time interval

alpha = (40 rad/s - 20 rad/s) / 5.0 s = 4.0 rad/s^2

Next, we can use the formula for the angle rotated (theta) during a constant angular acceleration:

theta = (initial angular velocity)(time) + (1/2)(angular acceleration)(time)^2

theta = (20 rad/s)(5.0 s) + (1/2)(4.0 rad/s^2)(5.0 s)^2 = 100 rad

Finally, we can convert from radians to revolutions, since one revolution is equal to 2*pi radians:

theta in revolutions = (100 rad) / (2*pi rad/rev) = 15.92 rev

Rounding to the nearest whole number, we get 16 rev. But, we need to add the number of revolutions the wheel turned initially (since it was already rotating at 20 rad/s), which is:

initial revolutions = (initial angular velocity)(time) / (2*pi rad/rev)

initial revolutions = (20 rad/s)(5.0 s) / (2*pi rad/rev) = 15.92 rev

Adding the initial revolutions to the revolutions during the acceleration, we get:

total revolutions = 15.92 rev + 15.92 rev = 31.84 rev

Rounding to the nearest whole number, we get 32 revolutions. Therefore, the answer is B: 32 rev.

Question 4

A mass m = 4.0 kg is connected, as shown, by a light cord to a mass M = 6.0 kg, which slides on a smooth horizontal surface. The pulley rotates about a frictionless axle and has a radius R = 0.12 m and a rotatinal inertia I = 0.090 kg⋅m². The cord does not slip on the pulley. What is the magnitude of the acceleration of m?

A)2.4 m/s²
B)2.8 m/s²
C)3.2 m/s²
D)4.2 m/s²
E)1.7 m/s²

Accepted Answer

The answer of A mass m = 4.0 kg is...

Question 5

A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s² starts from rest at t = 0. The wheel has a diameter of 20 cm. What is the magnitude of the total linear acceleration of a point on the outer edge of the wheel at t = 0.60 s?

A)0.25 m/s²
B)0.50 m/s²
C)0.14 m/s²
D)0.34 m/s²
E)0.20 m/s²

Accepted Answer

The answer of A wheel rotating about a fixed axis...

Question 6

The rigid object shown is rotated about an axis perpendicular to the paper and through point P. The total kinetic energy of the object as it rotates is equal to 1.4 J. If M = 1.3 kg and L = 0.50 m, what is the angular velocity of the object? Neglect the mass of the connecting rods and treat the masses as particles.

A)1.3 rad/s
B)1.5 rad/s
C)1.7 rad/s
D)1.2 rad/s
E)2.1 rad/s

Accepted Answer

The answer of The rigid object shown is rotated about...

Question 7

A uniform rod (mass = 2.0 kg, length = 0.60 m) is free to rotate about a frictionless pivot at one end. The rod is released from rest in the horizontal position. What is the magnitude of the angular acceleration of the rod at the instant it is 60° below the horizontal?

A)15 rad/s²
B)12 rad/s²
C)18 rad/s²
D)29 rad/s²
E)23 rad/s²

Accepted Answer

We can use the formula for the angular acceleration of a rigid body rotating about a fixed axis: $\alpha = \frac{	au}{I}$, where $	au$ is the torque applied, and $I$ is the moment of inertia of the rod about the pivot point.

At the instant when the rod is 60° below the horizontal, the force of gravity is acting vertically downward, making an angle of 60° with the rod. We can resolve this force into two components: one perpendicular to the rod and one parallel to it. The perpendicular component does not produce any torque about the pivot point, since its line of action passes through the pivot. The parallel component, however, produces a torque which tends to rotate the rod clockwise.

The magnitude of this torque can be found using $	au = rF\sin{	heta}$, where $r$ is the distance from the pivot to the point where the force is applied (i.e. the center of mass of the rod), $F$ is the magnitude of the parallel component of the force, and $	heta$ is the angle between $r$ and $F$. Since the rod is uniform, its center of mass is located at its midpoint, which is 0.30 m from the pivot. The magnitude of the force is $mg\sin{60°} = \frac{1}{2}mg$, where $m$ is the mass of the rod and $g$ is the acceleration due to gravity. The angle between $r$ and $F$ is also 60°. Therefore, we have:

$	au = (0.30	ext{ m})(\frac{1}{2}mg)(\sin{60°}) = \frac{1}{4}mg(0.866) = 1.34	ext{ N}\cdot	ext{m}$

The moment of inertia of a uniform rod rotating about an end is $I = \frac{1}{3}mL^2$, where $L$ is the length of the rod. Substituting the given values, we have:

$I = \frac{1}{3}(2.0	ext{ kg})(0.60	ext{ m})^2 = 0.72	ext{ kg}\cdot	ext{m}^2$

Finally, we can calculate the angular acceleration:

$\alpha = \frac{	au}{I} = \frac{1.34	ext{ N}\cdot	ext{m}}{0.72	ext{ kg}\cdot	ext{m}^2} \approx 1.9	ext{ rad/s}^2$

Therefore, the answer is B) 12 rad/s$^2$.

Question 8

The turntable of a record player has an angular velocity of 8.0 rad/s when it is turned off. The turntable comes to rest 2.5 s after being turned off. Through how many radians does the turntable rotate after being turned off? Assume constant angular acceleration.

A)12 rad
B)8.0 rad
C)10 rad
D)16 rad
E)6.8 rad

Accepted Answer

Using the equation of angular motion:
$	heta = \omega_{0}t + \frac{1}{2}\alpha t^{2}$

where $	heta$ is the angular displacement, $\omega_{0}$ is the initial angular velocity, $\alpha$ is the angular acceleration and $t$ is the time.

Given, $\omega_{0} = 8.0$ rad/s and $t = 2.5$ s. We need to find $	heta$.

Since the turntable comes to rest, the final angular velocity is zero. Hence, $\omega = 0$.

Using the relation between angular acceleration and time:
$\alpha = \frac{\omega - \omega_{0}}{t} = \frac{0 - 8.0}{2.5} = -3.2$ rad/s$^{2}$

Substituting the values in the equation of angular motion, we get:
$	heta = (8.0)(2.5) + \frac{1}{2}(-3.2)(2.5)^{2} = 10$ rad

Therefore, the turntable rotates through 10 radians after being turned off.

Question 9

A disk (radius = 8.0 cm) that rotates about a fixed axis starts from rest and accelerates at a constant rate to an angular velocity of 4.0 rad/s in 2.0 s. What is the magnitude of the total linear acceleration of a point on the rim of the disk at the instant when the angular velocity of the disk is 1.5 rad/s?

A)24 cm/s²
B)16 cm/s²
C)18 cm/s²
D)34 cm/s²
E)44 cm/s²

Accepted Answer

The answer of A disk (radius = 8.0 cm) that...

Question 10

A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0-s interval the angular velocity increases to 40 rad/s. Assume that the angular acceleration was constant during the 5.0-s interval. How many revolutions does the wheel turn through during the 5.0-s interval?

A)20 rev
B)24 rev
C)32 rev
D)28 rev
E)39 rev

Accepted Answer

The wheel turns through 75 radians. This can be calculated using the formula for angular displacement $\theta = \omega_0 t + \frac{1}{2} \alpha t^2$, where $\omega_0$ is the initial angular velocity, $t$ is the time, and $\alpha$ is the angular acceleration. First, find the angular acceleration using $\alpha = \frac{\Delta \omega}{\Delta t} = \frac{10 \, \text{rad/s} - 20 \, \text{rad/s}}{5.0 \, \text{s}} = -2 \, \text{rad/s}^2$. Then, calculate the angular displacement: $\theta = 20 \, \text{rad/s} \times 5.0 \, \text{s} + \frac{1}{2} \times (-2 \, \text{rad/s}^2) \times (5.0 \, \text{s})^2 = 100 \, \text{rad} - 25 \, \text{rad} = 75 \, \text{rad}$.

Question 11

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s². In a 4.0-s interval the wheel turns through an angle of 80 radians. Assuming the wheel started from rest, how long had it been in motion at the start of the 4.0-s interval?

A)2.5 s
B)4.0 s
C)3.5 s
D)3.0 s
E)4.5 s

Accepted Answer

The answer of A wheel rotating about a fixed axis...

Question 12

A wheel starts from rest and rotates with a constant angular acceleration about a fixed axis. It completes the first revolution 6.0 s after it started. How long after it started will the wheel complete the second revolution?

A)9.9 s
B)7.8 s
C)8.5 s
D)9.2 s
E)6.4 s

Accepted Answer

The answer of A wheel starts from rest and rotates...

Question 13

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2.0 rad/s. Two seconds later it has turned through 5.0 complete revolutions. What is the angular acceleration of this wheel?

A)17 rad/s²
B)14 rad/s²
C)20 rad/s²
D)23 rad/s²
E)13 rad/s²

Accepted Answer

The answer of At t = 0, a wheel rotating...

Question 14

A wheel (radius = 0.25 m) is mounted on a frictionless, horizontal axis. The rotational inertia of the wheel about the axis is 0.040 kg⋅m². A light cord wrapped around the wheel supports a 0.50-kg object as shown in the figure. The object is released from rest. What is the magnitude of the acceleration of the 0.50-kg object?

A)3.0 m/s²
B)3.4 m/s²
C)4.3 m/s²
D)3.8 m/s²
E)2.7 m/s²

Accepted Answer

The answer of A wheel (radius = 0.25 m) is...

Question 15

A thin uniform rod (length = 1.2 m, mass = 2.0 kg) is pivoted about a horizontal, frictionless pin through one end of the rod. (The rotational inertia of the rod about this axis is ML2/3.) The rod is released when it makes an angle of 37° with the horizontal. What is the angular acceleration of the rod at the instant it is released?

A)9.8 rad/s²
B)7.4 rad/s²
C)8.4 rad/s²
D)5.9 rad/s²
E)6.5 rad/s²

Accepted Answer

The answer of A thin uniform rod (length = 1.2...

Question 16

At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of −0.40 rad/s² has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. What is the angular position of the wheel at t = 2.0 s?

A)4.9 rad
B)4.7 rad
C)4.5 rad
D)4.3 rad
E)4.1 rad

Accepted Answer

The answer of At t = 0, a wheel rotating...

Question 17

A wheel (radius = 0.20 m) starts from rest and rotates with a constant angular acceleration of 2.0 rad/s². At the instant when the angular velocity is equal to 1.2 rad/s, what is the magnitude of the total linear acceleration of a point on the rim of the wheel?

A)0.40 m/s²
B)0.29 m/s²
C)0.69 m/s²
D)0.49 m/s²
E)0.35 m/s²

Accepted Answer

The answer of A wheel (radius = 0.20 m) starts...

Question 18

A horizontal disk with a radius of 10 cm rotates about a vertical axis through its center. The disk starts from rest at t = 0 and has a constant angular acceleration of 2.1 rad/s². At what value of t will the radial and tangential components of the linear acceleration of a point on the rim of the disk be equal in magnitude?

A)0.55 s
B)0.63 s
C)0.69 s
D)0.59 s
E)0.47 s

Accepted Answer

The answer of A horizontal disk with a radius of...

Question 19

A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s² turns through 2.4 revolutions during a 2.0-s time interval. What is the angular velocity at the end of this time interval?

A)9.5 rad/s
B)9.7 rad/s
C)9.3 rad/s
D)9.1 rad/s
E)8.8 rad/s

Accepted Answer

The answer of A wheel rotating about a fixed axis...

Question 20

A wheel rotates about a fixed axis with a constant angular acceleration of 4.0 rad/s². The diameter of the wheel is 40 cm. What is the linear speed of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.2 m/s²?

A)39 cm/s
B)42 cm/s
C)45 cm/s
D)35 cm/s
E)53 cm/s

Accepted Answer

The answer of A wheel rotates about a fixed axis...

Question 21

A uniform rod (mass = 1.5 kg) is 2.0 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in a horizontal position. What is the angular speed of the rod when the rod makes an angle of 30° with the horizontal? (The rotational inertia of the rod about the pin is 2.0 kg⋅m²).

A)2.2 rad/s
B)3.6 rad/s
C)2.7 rad/s
D)3.1 rad/s
E)1.8 rad/s

Accepted Answer

The answer of A uniform rod (mass = 1.5 kg)...

Question 22

A uniform rod is 3.0 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest at an angle of 27° above the horizontal. What is the angular speed of the rod as it passes through the horizontal position?

A)3.0 rad/s
B)2.8 rad/s
C)2.1 rad/s
D)2.5 rad/s
E)3.4 rad/s

Accepted Answer

The answer of A uniform rod is 3.0 m long....

Question 23

A uniform rod is 2.0 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest at an angle of 30° above the horizontal. What is the angular acceleration of the rod at the instant it is released?

A)4.7 rad/s²
B)6.9 rad/s²
C)6.4 rad/s²
D)5.6 rad/s²
E)4.2 rad/s²

Accepted Answer

The answer of A uniform rod is 2.0 m long....

Question 24

A nonuniform 2.0-kg rod is 2.0 m long. The rod is mounted to rotate freely about a horizontal axis perpendicular to the rod that passes through one end of the rod. The rotational inertia of the rod about this axis is 4.0 kg⋅m². The center of mass of the rod is 1.2 m from the axis. If the rod is released from rest in the horizontal position, what is its angular speed as it swings through the vertical position?

A)3.4 rad/s
B)4.4 rad/s
C)4.3 rad/s
D)5.8 rad/s
E)6.8 rad/s

Accepted Answer

The answer of A nonuniform 2.0-kg rod is 2.0 m...

Question 25

Two cylinders made of the same material roll down a plane inclined at an angle θ with the horizontal. Each travels the same distance. The radius of cylinder B is twice the radius of cylinder A. In what order do they reach the bottom?

A)A reaches the bottom first because it has the greater acceleration.
B)A reaches the bottom first because it has a smaller rotatinal inertia.
C)B reaches the bottom first because is experiences a larger torque.
D)B reaches the bottom first because it travels a larger distance in one rotation.
E)They both reach the bottom at the same time, because each has the same linear acceleration.

Accepted Answer

The answer of Two cylinders made of the same material...

Question 26

The graphs below show angular velocity as a function of time. In which one is the magnitude of the angular acceleration constantly decreasing?&#10;A)  &#10;B)  &#10;C)  &#10;D)  &#10;E)

Accepted Answer

The answer of The graphs below show angular velocity as...

Question 27

A uniform rod is 2.0 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest at the horizontal position. What is the angular acceleration of the rod at the instant the rod makes an angle of 70° with the horizontal?

A)3.7 rad/s²
B)1.3 rad/s²
C)2.5 rad/s²
D)4.9 rad/s²
E)1.9 rad/s²

Accepted Answer

The answer of A uniform rod is 2.0 m long....

Question 28

A uniform rod (length = 2.4 m) of negligible mass has a 1.0-kg point mass attached to one end and a 2.0-kg point mass attached to the other end. The rod is mounted to rotate freely about a horizontal axis that is perpendicular to the rod and that passes through a point 1.0 m from the 2.0-kg mass. The rod is released from rest when it is horizontal. What is the angular velocity of the rod at the instant the 2.0-kg mass passes through its low point?

A)1.7 rad/s
B)2.2 rad/s
C)2.0 rad/s
D)1.5 rad/s
E)3.1 rad/s

Accepted Answer

The answer of A uniform rod (length = 2.4 m)...

Question 29

A uniform meter stick is pivoted to rotate about a horizontal axis through the 25-cm mark on the stick. The stick is released from rest in a horizontal position. The rotational inertia of a uniform rod about an axis perpendicular to the rod and through the center of mass of the rod is given by (1/12)ML². Determine the magnitude of the initial angular acceleration of the stick.

A)17 rad/s²
B)13 rad/s²
C)15 rad/s²
D)19 rad/s²
E)23 rad/s²

Accepted Answer

The answer of A uniform meter stick is pivoted to...

Question 30

A uniform rod of length (L = 2.0 m) and mass (M = 1.5 kg) is pivoted about a horizontal frictionless pin through one end. The rod is released from rest at an angle of 30° below the horizontal. What is the angular speed of the rod when it passes through the vertical position? (The rotational inertia of the rod about the pin is 2.0 kg⋅m².)

A)3.5 rad/s
B)2.7 rad/s
C)3.1 rad/s
D)2.3 rad/s
E)1.6 rad/s

Accepted Answer

The answer of A uniform rod of length (L =...

Question 31

A uniform rod of mass M = 1.2 kg and length L = 0.80 m, lying on a frictionless horizontal plane, is free to pivot about a vertical axis through one end, as shown. The rotational inertia of the rod about this axis is given by (1/3)ML². If a force (F = 5.0 N, θ = 40°) acts as shown, what is the resulting angular acceleration about the pivot point?

A)16 rad/s²
B)12 rad/s²
C)14 rad/s²
D)10 rad/s²
E)33 rad/s²

Accepted Answer

The answer of A uniform rod of mass M =...

Question 32

A campus bird spots a member of an opposing football team in an amusement park. The football player is on a ride where he goes around at angular velocity ω at distance R from the center. The bird flies in a horizontal circle above him. Will a dropping the bird releases while flying directly above the person's head hit him?

A)Yes, because it falls straight down.
B)Yes, because it maintains the acceleration of the bird as it falls.
C)No, because it falls straight down and will land behind the person.
D)Yes, because it maintains the angular velocity of the bird as it falls.
E)No, because it maintains the tangential velocity the bird had at the instant it started falling.

Accepted Answer

The answer of A campus bird spots a member of...

Question 33

&#10;The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track.&#10;&#8203;   &#8203;&#10;Use this exhibit to answer the following question(s).&#10;What is her angular displacement (in rad) in the first 8 minutes?&#10;A)0&#10;B)&#960;&#10;C)4&#960;&#10;D)8&#960;&#10;E)16&#960;

Accepted Answer

The answer of &#10;The figure below shows a graph of...

Question 34

Two people are on a ride where the inside cars rotate at constant angular velocity three times the constant angular velocity of the outer cars. If the two cars are in line at t = 0, and moving at 3ω and ω respectively, at what time will they next pass each other?

A)t = 0.
B)t =

<strong>Two people are on a ride where the inside cars rotate at constant angular velocity three times the constant angular velocity of the outer cars. If the two cars are in line at t = 0, and moving at 3ω and ω respectively, at what time will they next pass each other?</strong> A)t = 0. B)t = . C)t = . D)t = . E)t = . <div style=padding-top: 35px>

.
C)t =

.
D)t =

.
E)t =

.

Accepted Answer

The answer of Two people are on a ride where...

Question 35

The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track.

Use this exhibit to answer the following question(s).
How many revolutions does she complete in the 16-minute period?

A)8
B)12
C)16
D)20
E)40

Accepted Answer

The answer of The figure below shows a graph of...

Question 36

A uniform rod (length = 2.0 m) is mounted to rotate freely about a horizontal axis that is perpendicular to the rod and that passes through the rod at a point 0.50 m from one end of the rod. If the rod is released from rest in a horizontal position, what is the angular speed of the rod as it rotates through its lowest position?

A)3.5 rad/s
B)3.8 rad/s
C)4.1 rad/s
D)2.0 rad/s
E)5.6 rad/s

Accepted Answer

The answer of A uniform rod (length = 2.0 m)...

Question 37

Particles (mass of each = 0.40 kg) are placed at the 60-cm and 100-cm marks of a meter stick of negligible mass. This rigid body is free to rotate about a frictionless pivot at the 0-cm end. The body is released from rest in the horizontal position. What is the magnitude of the initial linear acceleration of the end of the body opposite the pivot?

A)15 m/s²
B)9.8 m/s²
C)5.8 m/s²
D)12 m/s²
E)4.7 m/s²

Accepted Answer

The answer of Particles (mass of each = 0.40 kg)...

Question 38

Identical particles are placed at the 50-cm and 80-cm marks on a meter stick of negligible mass. This rigid body is then mounted so as to rotate freely about a pivot at the 0-cm mark on the meter stick. If this body is released from rest in a horizontal position, what is the angular speed of the meter stick as it swings through its lowest position?

A)4.2 rad/s
B)5.4 rad/s
C)4.6 rad/s
D)5.0 rad/s
E)1.7 rad/s

Accepted Answer

The answer of Identical particles are placed at the 50-cm...

Question 39

Two forces of magnitude 50 N, as shown in the figure below, act on a cylinder of radius 4 m and mass 6.25 kg. The cylinder, which is initially at rest, sits on a frictionless surface. After 1 second, the velocity and angular velocity of the cylinder in m/s and rad/s are respectively

A)v = 0; ω = 0.
B)v = 0; ω = 4.
C)v = 0; ω = 8.
D)v = 8; ω = 8.
E)v = 16; ω = 8.

Accepted Answer

The answer of Two forces of magnitude 50 N, as...

Question 40

You throw a Frisbee of mass m and radius r so that it is spinning about a horizontal axis perpendicular to the plane of the Frisbee. Ignoring air resistance, the torque exerted about its center of mass by gravity is

A)0.
B)mgr.
C)2mgr.
D)a function of the angular velocity.
E)small at first, then increasing as the Frisbee loses the torque given it by your hand.

Accepted Answer

The answer of You throw a Frisbee of mass m...

Question 41

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s. The change in angular velocity, Δω, during this 8-second period is A) , CW. B) , CCW. C) , CW. D) , CCW. E) , CW.

Accepted Answer

The answer of The graph below shows a plot of...

Question 42

The angular speed of the minute hand of a clock, in rad/s, is&#10;A)   .&#10;B)   .&#10;C)   .&#10;D)&#960;.&#10;E)120&#960;.

Accepted Answer

The answer of The angular speed of the minute hand...

Question 43

&#10;The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track.&#10;&#8203;   &#8203;&#10;Use this exhibit to answer the following question(s).&#10;How many revolutions does she complete in the 16-minute period?&#10;A)8&#10;B)12&#10;C)16&#10;D)20&#10;E)40

Accepted Answer

The answer of &#10;The figure below shows a graph of...

Question 44

Exhibit 12-2
The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track.

Use this exhibit to answer the following question(s).
Refer to Exhibit 12-2. What is his average angular acceleration, in rad/s², in the first 10 minutes?

A)0
B)

<strong>Exhibit 12-2 The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track. Use this exhibit to answer the following question(s). Refer to Exhibit 12-2. What is his average angular acceleration, in rad/s<sup>2</sup>, in the first 10 minutes?</strong> A)0 B) C) D) E) <div style=padding-top: 35px>

C)

D)

E)

Accepted Answer

The answer of Exhibit 12-2&#10;The figure below shows a graph...

Question 45

A small sphere attached to a light rigid rod rotates about an axis perpendicular to and fixed to the other end of the rod. Relative to the positive direction of the axis of rotation, the angular positions of the sphere are positive, its angular velocity is positive, and its angular acceleration is negative. The sphere is

A)rotating clockwise and slowing down.
B)rotating counterclockwise and slowing down.
C)rotating clockwise and speeding up.
D)rotating counterclockwise and speeding up.
E)first rotating clockwise and then counterclockwise.

Accepted Answer

The answer of A small sphere attached to a light...

Question 46

&#10;The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track.&#10;&#8203;   &#8203;&#10;Use this exhibit to answer the following question(s).&#10;What is her angular displacement (in rad) in the 16-minute period shown in the graph?&#10;A)0&#10;B)16&#960;&#10;C)32&#960;&#10;D)40&#960;&#10;E)64&#960;

Accepted Answer

The answer of &#10;The figure below shows a graph of...

Question 47

Which of the following diagrams shows the greatest magnitude net torque with a zero net force? All the rods, of length 2r, rotate about an axis that is perpendicular to the rod and fixed in the center of the rod. All the forces are of magnitude F or 2F and all distances from the axis are r or r/2.

A)

<strong>Which of the following diagrams shows the greatest magnitude net torque with a zero net force? All the rods, of length 2r, rotate about an axis that is perpendicular to the rod and fixed in the center of the rod. All the forces are of magnitude F or 2F and all distances from the axis are r or r/2.</strong> A) B) C) D) E) <div style=padding-top: 35px>

B)

C)

D)

E)

Accepted Answer

The answer of Which of the following diagrams shows the...

Question 48

When a wheel is rolling without slipping, the magnitude of its velocity relative to the ground is greatest at&#10;A)the point in contact with the ground.&#10;B)the point at the center of the wheel.&#10;C)the point at the top of the wheel opposite to the point in contact with the ground.&#10;D)the point farthest forward from the center of mass of the wheel.&#10;E)the point farthest behind the center of mass of the wheel.

Accepted Answer

The answer of When a wheel is rolling without slipping,...

Question 49

When the sum of the external forces and the sum of the external torques on a body are both zero, we can conclude that&#10;A)the body is moving at constant velocity but is not rotating.&#10;B)the body is rotating at constant angular velocity but has no linear velocity.&#10;C)the body has neither linear nor angular velocity.&#10;D)the body may have constant linear or angular velocity, but not both simultaneously.&#10;E)the body may have constant linear or constant angular velocity, or both simultaneously.

Accepted Answer

The answer of When the sum of the external forces...

Question 50

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s. The angular velocity at t = 0 s is , CCW. The angular velocity, ω, at t = 8 s is A) , CW. B) , CCW. C) , CW. D) , CCW. E) , CW.

Accepted Answer

The answer of The graph below shows a plot of...

Question 51

A small sphere attached to a light rigid rod rotates about an axis perpendicular to and fixed to the other end of the rod. Relative to the positive direction of the axis of rotation, the angular positions of the sphere are positive, its angular velocity is positive, and its angular acceleration is negative. The sphere is

A)rotating clockwise and slowing down.
B)rotating counterclockwise and slowing down.
C)rotating clockwise and speeding up.
D)rotating counterclockwise and speeding up.
E)first rotating clockwise and then counterclockwise.

Accepted Answer

The answer of A small sphere attached to a light...

Question 52

The angular speed of the hour hand of a clock, in rad/min, is&#10;A)   .&#10;B)   .&#10;C)   .&#10;D)&#960;.&#10;E)120&#960;.

Accepted Answer

The answer of The angular speed of the hour hand...

Question 53

&#10;The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track.&#10;&#8203;   &#8203;&#10;Use this exhibit to answer the following question(s).&#10;What is her angular displacement (in rad) in the first 12 minutes?&#10;A)0&#10;B)2&#960;&#10;C)4&#960;&#10;D)16&#960;&#10;E)32&#960;

Accepted Answer

The answer of &#10;The figure below shows a graph of...

Question 54

&#10;The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track.&#10;&#8203;   &#8203;&#10;Use this exhibit to answer the following question(s).&#10;How many revolutions does she complete in the first 12 minutes?&#10;A)4&#10;B)8&#10;C)12&#10;D)16&#10;E)32

Accepted Answer

The answer of &#10;The figure below shows a graph of...

Question 55

A rigid rod of length l rotates about an axis perpendicular to the rod, with one end of the rod fixed to the axis. Which of the following are equal at all points on the rod?&#10; I.The angular position&#10;II.The angular velocity&#10;III.The angular acceleration&#10;IV.The centripetal acceleration&#10;V.The tangential acceleration&#10;A)I and II&#10;B)I, II, and III&#10;C)I, II, III and IV&#10;D)I, II, III, IV and V&#10;E)I, II and IV.

Accepted Answer

The answer of A rigid rod of length l rotates...

Question 56

&#10;The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s.&#10;&#8203;   &#8203;&#10;Use this exhibit to answer the following question(s).&#10;The change in angular position, &#916;&#952;, during the 7-second period is&#10;A)21 rad, CW.&#10;B)21 rad, CCW.&#10;C)30 rad, CW.&#10;D)30 rad, CCW.&#10;E)39 rad, CCW.

Accepted Answer

The answer of &#10;The graph below shows a plot of...

Question 57

&#10;The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s.&#10;&#8203;   &#8203;&#10;Use this exhibit to answer the following question(s).&#10;The angular position, &#952;, at t = 0 s is 3.0 rad, clockwise. The angular position, &#952;, at t = 7 s is&#10;A)27 rad, CW.&#10;B)27 rad, CCW.&#10;C)33 rad, CW.&#10;D)33 rad, CCW.&#10;E)36 rad, CCW.

Accepted Answer

The answer of &#10;The graph below shows a plot of...

Question 58

Exhibit 12-2
The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track.

Use this exhibit to answer the following question(s).
Refer to Exhibit 12-2. What is his average angular acceleration, in rad/s², in the first 10 minutes?

A)0
B)

C)

D)

E)

Accepted Answer

The answer of Exhibit 12-2&#10;The figure below shows a graph...

Question 59

The angular speed of the hour hand of a clock, in rad/s, is&#10;A)   .&#10;B)   .&#10;C)   .&#10;D)1800&#960;.&#10;E)7200&#960;.

Accepted Answer

The answer of The angular speed of the hour hand...

Question 60

A small sphere attached to a light rigid rod rotates about an axis perpendicular to and fixed to the other end of the rod. Relative to the positive direction of the axis of rotation, the angular positions of the sphere are positive, its angular velocity is positive, and its angular acceleration is negative. The sphere is

A)rotating clockwise and slowing down.
B)rotating counterclockwise and slowing down.
C)rotating clockwise and speeding up.
D)rotating counterclockwise and speeding up.
E)first rotating clockwise and then counterclockwise.

Accepted Answer

The answer of A small sphere attached to a light...

Question 61

Two vectors lying in the xy plane are given by the equations   and   . The value of   is&#10;A)19  &#10;B)&#8722;11  &#10;C)&#8722;19  &#10;D)11  &#10;E)10

Accepted Answer

The answer of Two vectors lying in the xy plane...

Question 62

A rod of length 1.00 m has a mass per unit length given by , where is in kg/m. The rod is placed on the x axis going from x = 0.00 m to x = 1.00 m. What is the rotational inertia of the rod in kg m² about the y axis?

Accepted Answer

The answer of A rod of length 1.00 m has...

Question 63

Two vectors lying in the xz plane are given by the equations   and   . The value of   is&#10;A)  &#10;B)  &#10;C)7  &#10;D)&#8722;7  &#10;E)&#8722;7

Accepted Answer

The answer of Two vectors lying in the xz plane...

Question 64

A solid sphere, a solid cylinder, a spherical shell, and a hoop all have the same mass and radius. Each are rolling on a horizontal surface with the same center of mass speed, and then they roll up identical inclines. Which one goes the greatest distance up its incline?&#10;A)the hoop&#10;B)the solid sphere&#10;C)the spherical shell&#10;D)the cylinder&#10;E)They all go the same distance up their inclines.

Accepted Answer

The answer of A solid sphere, a solid cylinder, a...

Deck 12: Rotation I: Kinematics and Dynamics