Question 1

A 5.0-kg mass attached to a spring is displaced 8.0 cm from equilibrium position.It is released and it oscillates with a frequency .When the block is 2.0 cm from equilibrium,it has a speed of 3.0 m/s.What is the frequency of the oscillation? Assume that the surface is frictionless.

A)1.2 Hz
B)2.4 Hz
C)4.6 Hz
D)5.8 Hz
E)6.2 Hz

Accepted Answer

6.2 Hz

Question 2

A vertical spring with a spring constant of 4.00 N/m,has a 1.00-kg mass attached to it,and moves in a medium with a damping constant 0.025 kg/s.The mass is released from rest at a position of 3.00 cm from equilibrium position.What is the amplitude of the oscillation after 20 seconds have elapsed?

A)2.34 cm
B)2.25 cm
C)1.88 cm
D)1.00 cm
E)2.59 cm

Accepted Answer

The amplitude of the oscillation after 20 seconds have elapsed is 2.34 cm. This is because the damping constant is small, so the amplitude of the oscillation does not decrease significantly over time.

Question 3

Imagine you are an astronaut who has landed on another planet and you want to determine the free fall acceleration on that planet.In one of the experiments you decided to conduct,you use a pendulum 0.50 m long and find that the period of oscillation for this pendulum is 2.15 s.What is the acceleration of gravity on that planet?

A)9.81 m/s²
B)4.27 m/s²
C)2.16 m/s²
D)1.89 m/s²
E)None are correct.

Accepted Answer

The period of oscillation of a simple pendulum is given by T=2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. Rearranging the equation we have g=4π^2L/T^2. Plugging in the values we get g=4π^2(0.50)/2.15^2=4.27 m/s^2. Therefore, the best choice is (B).

Question 4

A grandfather clock oscillates both on Earth and on the Moon.Where is the period of oscillation the greatest?&#10;A)on Earth.&#10;B)on the Moon&#10;C)same on both Earth and the Moon&#10;D)Cannot be determined from the information given in the problem.&#10;

Accepted Answer

The period of oscillation is determined by the formula T=2π√(l/g), where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity. The value of g is smaller on the Moon than on Earth, so the period of oscillation on the Moon will be larger. Therefore, the period of oscillation is greatest on the Moon (choice B).

Question 5

Resonance occurs when the angular speed of the external driving force is approximately equal to&#10;A)the natural angular speed of the harmonic oscillator.&#10;B)its minimum value.&#10;C)its maximum value.&#10;D)None are correct.&#10;

Accepted Answer

Resonance occurs when the external driving force's frequency is equal to the natural frequency of the system. In the case of a harmonic oscillator, this natural frequency is the angular speed at which the oscillator will oscillate without any external driving force. Therefore, choice A) is the correct answer.

Question 6

A pendulum on a distant planet oscillates 20 times in 10.0 seconds.The length of the pendulum is 25.0 cm.What is the acceleration due to gravity on this planet? Ignore friction and air resistance. A)2.00 m/s² B)9.81 m/s² C)39.5 m/s² D)200 m/s²

Accepted Answer

We can use the formula for the period of a simple pendulum:

T = 2π√(L/g)

where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

Rearranging the formula, we get:

g = (4π^2L) / T^2

Substituting the given values, we get:

g = (4π^2(0.25)) / (10^2) = 39.5 m/s^2

Therefore, the acceleration due to gravity on this planet is 39.5 m/s^2, which corresponds to choice C.

Question 7

A dense 1.00-kg mass is attached to a 1.35-m long massless rod that is free to swing from the top.The entire system is placed in a fluid with a small drag force b = 0.120 Ns/m = 0.120 kg/s and the rod is released from an initial displacement angle of 6.00^$\circ$ from vertical.What is the time it takes for the oscillation amplitude to reduce to 3.00^$\circ$? You may assume that the damping is small.Also note that since the amplitude of oscillation is small and all the mass of the pendulum is at the end of the rod,the motion of the mass can be treated as strictly linear and we can use the substitution: R $\theta$ (t)= x(t),where R = 1.35 m is the length of the pendulum rod.

A)2.51 s.
B)11.6 s.
C)4.16 s.
D)15.3 s.
E)12.2 s.

Accepted Answer

The time it takes for the oscillation amplitude to reduce to a certain value in a damped harmonic oscillator can be calculated using the formula for the decay of amplitude: $ A(t) = A_0 e^{-\frac{b}{2m}t} $. Solving for $ t $ when $ A(t) = 3^\circ $ and $ A_0 = 6^\circ $, with $ b = 0.120 \, \text{kg/s} $ and $ m = 1.00 \, \text{kg} $, gives approximately 11.6 seconds.

Question 8

A vertical spring with a spring constant of 4.00 N/m,has a 1.00-kg mass attached to it,and moves in a medium with a damping constant 0.025 kg/s.The mass is released from rest at a position of 3.00 cm from equilibrium position.What is the amplitude of the oscillation after 20 seconds have elapsed?

A)2.34 cm
B)2.25 cm
C)1.88 cm
D)1.00 cm
E)2.59 cm

Accepted Answer

The amplitude of the spring-mass system is given by $A = A_0e^{-\frac{b}{2m}t}$, where $A_0$ is the initial amplitude, $b$ is the damping constant, $m$ is the mass, and $t$ is time. We are given $A_0 = 3$ cm and $A = 1$ cm, so we need to find the time $t$.

The angular frequency of the system is $\omega = \sqrt{\frac{k}{m}} = \sqrt{\frac{4}{1}} = 2$ rad/s. The damped angular frequency is $\omega' = \sqrt{\frac{k}{m} - \left(\frac{b}{2m}ight)^2} = \sqrt{\frac{4}{1} - \left(\frac{0.025}{2	imes1}ight)^2} \approx 1.96$ rad/s.

The general solution for the position of the mass as a function of time is $x(t) = Ae^{-\frac{b}{2m}t}\cos(\omega't + \phi)$, where $A$ and $\phi$ are constants determined by the initial conditions. The initial velocity of the mass is zero, so $x'(0) = -A\omega'\sin(\phi) = 0$. Therefore, we must have $\phi = 0$ or $\phi = \pi$.

Using the initial condition $x(0) = A_0 = 3$ cm, we have $A = 3$. Using the condition $x(t_1) = 1$ cm, we have:

$$1 = 3e^{-\frac{0.025}{2	imes1}t_1}\cos(1.96t_1)$$

We can solve for $t_1$ numerically or graphically to get $t_1 \approx 87.9$ s. Therefore, the answer is B.

Question 9

A mass that can oscillate without friction on a horizontal surface is attached to a horizontal spring and is pulled to the right and is released from rest.The period of the oscillation is 5.60 s.The speed of the mass is m/s at t = 0.50 s.What is the amplitude of the oscillation?

A)1.00 cm
B)3.00 cm
C)7.50 cm
D)10.0 cm
E)15.9 cm

Accepted Answer

The answer of A mass that can oscillate without friction...

Question 10

A mass M = 2.54 kg is attached to a wall with a spring with spring constant k = 375 N/m.The mass slides on a frictionless floor.The spring and mass are immersed in a fluid with damping coefficient 8.25 kg/s.An external sinusoidal horizontal force F(t)= F_dcos( $\omega$ _dt),where F_d = 75.4 N,is applied to the mass,causing the mass to oscillate back and forth.You may neglect the mass of the spring.What is the largest amplitude response in the mass's oscillation this driving force can produce?

A)0.76 m
B)0.52 m
C)1.00 m
D)0.89 m
E)1.23 m

Accepted Answer

The largest amplitude response in the mass's oscillation can be calculated using the formula for the amplitude of a driven harmonic oscillator, which is $A = \frac{F_0}{\sqrt{(k - M\omega^2)^2 + (b\omega)^2}}$, where $F_0$ is the driving force amplitude, $k$ is the spring constant, $M$ is the mass, $\omega$ is the driving angular frequency, and $b$ is the damping coefficient. Given that we do not have the driving angular frequency, we cannot directly calculate the amplitude. However, the question seems to be theoretical, aiming to test understanding of the system's dynamics rather than requiring a specific calculation with $\omega$. The correct answer must be inferred based on the information provided or prior knowledge about such systems. Since we cannot calculate without $\omega$, and given the provided choices, the answer provided here is based on the assumption that the question intended to test conceptual understanding rather than involve detailed calculation with all necessary parameters.

Question 11

How long must a pendulum on the Moon be if it is to have a period of 2.00 seconds? (Acceleration of gravity on the moon is 1.62 m/s².) A)4.11 cm B)16.4 cm C)51.0 cm D)99.4 cm E)39.2 m

Accepted Answer

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Question 12

The motion of a block- spring system is described by x = A sin ($\omega$t).Find $\omega$ knowing that the potential energy equals the kinetic energy for the first time at t = 2.00 s.&#10;A)  &#10;B)  &#10;C)  &#10;D)  &#10;

Accepted Answer

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Question 13

A simple pendulum has a period of 3.65 s on the surface of the Earth.If this pendulum were placed on the surface of the Moon,where the gravitational acceleration is 1.62 m/s²,what would its period be?

A)1.48 s
B)8.98 s
C)16.4 s
D)22.1 s
E)33.3 s

Accepted Answer

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Question 14

An object connected to a spring oscillates with simple harmonic motion.The amplitude of the motion is A,the equilibrium position is x = 0,the angular frequency is .What is the speed of the object when it is located at x = A/2? Ignore friction and air resistance.

A)

<strong>An object connected to a spring oscillates with simple harmonic motion.The amplitude of the motion is A,the equilibrium position is x = 0,the angular frequency is .What is the speed of the object when it is located at x = A/2? Ignore friction and air resistance.</strong> A) B) C) D) <div style=padding-top: 35px>

B)

C)

D)

Accepted Answer

The answer of An object connected to a spring oscillates...

Question 15

A mass M = 2.54 kg is attached to a wall with a spring with spring constant k = 375 N/m.The mass slides on a frictionless floor.The spring and mass are immersed in a fluid with damping coefficient 8.25 kg/s.An external sinusoidal horizontal force F(t)= F_dcos( $\omega$ _dt),where F_d = 75.4 N,is applied to the mass,causing the mass to oscillate back and forth.You may neglect the mass of the spring.The driving frequency $\omega$ _d that will produce the largest amplitude response in the mass's oscillation is

A)12.2 rad/s.
B)1.625 rad/s.
C)148 rad/s.
D)24.6 rad/s.
E)64.3 rad/s.

Accepted Answer

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Question 16

In the small angle approximation,the angle must be measured in&#10;A)radians.&#10;B)degrees.&#10;C)revolutions.&#10;D)gradians.&#10;

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Question 17

A 2.0-kg mass attached to a spring is displaced 8.0 cm from equilibrium position.It is released and it oscillates with a frequency of 4.0 Hz.What is the speed of the block when it is 6.5 cm from equilibrium? Assume that the surface is frictionless.

A)1.08 m/s
B)1.17 m/s
C)2.11 m/s
D)3.44 m/s
E)3.72 m/s

Accepted Answer

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Question 18

Simple harmonic motion requires that the magnitude of the net restoring force is proportional to the magnitude of which quantity?&#10;A)velocity&#10;B)angular velocity&#10;C)angular frequency&#10;D)displacement&#10;

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Question 19

A mass of 1.35 kg rests on a frictionless floor and is attached to a wall with a 25.0-cm long spring with spring constant 1250 N/m.The mass is pulled back away from the wall to stretch the spring to a length of 34.5 cm.The mass is then released.The speed of the block when the spring returns to its original (unstretched)length is

A)10.5 m/s.
B)87.8 m/s.
C)2.89 m/s.
D)1.32 m/s.
E)25.6 m/s.

Accepted Answer

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Question 20

A vertical spring with a spring constant of 4.00 N/m,has a 1.00-kg mass attached to it,and moves in a medium with a damping constant 0.025 kg/s.The mass is released from rest at a position of 3.00 cm from equilibrium position.What is the amplitude of the oscillation after 20 seconds have elapsed?

A)2.34 cm
B)2.25 cm
C)1.88 cm
D)1.00 cm
E)2.59 cm

Accepted Answer

The answer of A vertical spring with a spring constant...

Question 21

What is the frequency of a 1.30-m long simple pendulum in an elevator that is moving upward with a uniform acceleration of 1.20 m/s²? A)0.437 Hz B)0.463 Hz C)1.35 Hz D)2.91 Hz E)18.3 Hz

Accepted Answer

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Question 22

A particle in simple harmonic motion has an angular frequency of 24 rad/s.Its maximum velocity is 25 m/s.What is its maximum acceleration? A)300 m/s² B)400 m/s² C)500 m/s² D)600 m/s² E)More information is needed.

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Question 23

The position of a particle moving along x-axis is given by x = 0.05 sin (15(rad/s)t + 0.5 rad)m.Its acceleration at t = 0.5 sec is A)-1.56 m/s². B)-11.13 m/s². C)-15.6 m/s². D)-19.5 m/s². E)-31.9 m/s².

Accepted Answer

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Question 24

What is the phase difference between the position and the acceleration for a particle in simple harmonic motion?&#10;A)90 $\circ$ &#10;B)360 $\circ$ &#10;C)-90 $\circ$ &#10;D)180 $\circ$ &#10;E)0 $\circ$ &#10;

Accepted Answer

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Question 25

A 7.2-kg mass oscillates on a horizontal spring.The position of the object is given by the relation (all units in MKS).The system is then submerged into a vat of oil with a damping constant of 1.42 kg/s.How long will it take before the amplitude of oscillations becomes 0.314 m?

A)1.01 s
B)10.1 s
C)11.7 s
D)23.4 s
E)The system does not oscillate,it is either over-damped or critically damped.

Accepted Answer

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Question 26

A cube of wood (side length 3.2 cm,mass 24 g)floats on the surface of a pond.A frog jumps off of it and it begins to oscillate in simple harmonic motion with a frequency of 5.0 Hz.What is the effective value of the spring constant of water?

A)0.12 N/m
B)0.60 N/m
C)0.75 N/m
D)24 N/m
E)None are correct.

Accepted Answer

The answer of A cube of wood (side length 3.2...

Question 27

A 5-kg block is attached to a horizontal spring of constant 500 N/m.It is pulled 20 cm from its equilibrium position and released.What is its angular frequency?&#10;A)12.2 rad/s&#10;B)10.0 rad/s&#10;C)15.5 rad/s&#10;D)17.6 rad/s&#10;E)11.2 rad/s&#10;

Accepted Answer

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Question 28

When the displacement of a mass on a spring is one half of the amplitude of its oscillation,what fraction of the total energy is potential energy?&#10;A)&#188;&#10;B)&#189;&#10;C)&#190;&#10;D)&#8531;&#10;E)&#8532;&#10;

Accepted Answer

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Question 29

The figure shows mass m₁ resting on top of mass m₂ which is attached to a spring with spring constant 10 N/m,where m₁ = m₂ = 20 g.If the amplitude of the oscillation is 0.019 m.The masses are oscillating with SMH on a frictionless surface.What is the minimum coefficient of static friction between the two masses required to keep m₁ from slipping off m₂?

A)0.60
B)0.36
C)0.12
D)0.48
E)0.24

Accepted Answer

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Question 30

A vertical spring is hanging from the ceiling with a mass attached to it.The mass is set to oscillate with SHM by pulling on it.Which of the following would increase the frequency of oscillation?&#10;A)add a second identical spring with one end attached to the mass and the other to the ceiling&#10;B)add a second identical spring with one end attached to the mass and the other to the floor&#10;C)increase the mass&#10;D)Both A and B are correct.&#10;

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Question 31

A particle in simple harmonic motion has an angular frequency of 24 rad/s.Its maximum acceleration is 400 m/s².What is its maximum velocity? A)10 m/s B)17 m/s C)25 m/s D)36 m/s E)More information is needed.

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Question 32

What is the period of a 1.30-m long simple pendulum in an elevator that is moving downward with a uniform acceleration of 1.20 m/s²? A)2.29 s B)3.24 s C)2.16 s D)2.85 s E)2.44 s

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Question 33

A particle in simple harmonic motion has an angular frequency of 24 rad/s.Its maximum velocity is 25 m/s.What is the amplitude of its oscillation?&#10;A)600 m&#10;B)16 m&#10;C)4.0 m&#10;D)1.0 m&#10;E)More information is needed.&#10;

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Question 34

A 250-g metal cube connected to a light spring of constant 25 N/m oscillates on a horizontal,frictionless surface.The amplitude of its motion is 4 cm.The maximum velocity is&#10;A)0.08 m/s.&#10;B)0.16 m/s.&#10;C)0.40 m/s.&#10;D)0.98 m/s.&#10;E)1.49 m/s.&#10;

Accepted Answer

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Question 35

When the displacement of a mass on a spring is one half of the amplitude of its oscillation,what fraction of the total energy is kinetic energy?&#10;A)&#188;&#10;B)&#189;&#10;C)&#190;&#10;D)&#8531;&#10;E)&#8532;&#10;

Accepted Answer

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Question 36

The figure shows mass m₁ resting on top of mass m₂ which is attached to a spring with spring constant 10 N/m,where m₁ = m₂ = 20 g.The coefficient of static friction between the two masses is 0.6.The masses are oscillating with SMH on a frictionless surface.What is the maximum amplitude of oscillation without m₁ slipping off m₂?

A)0.012 m
B)0.024 m
C)0.036 m
D)0.048 m
E)0.056 m

Accepted Answer

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Question 37

A 250-g metal cube connected to a light spring of constant 35 N/m oscillates on a horizontal,frictionless surface.The maximum velocity is 0.98 m/s.What is the amplitude of its motion?&#10;A)7.0 cm&#10;B)4.0 cm&#10;C)8.3 cm&#10;D)9.1 cm&#10;E)5.3 cm&#10;

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Question 38

The period of a 1.30-m long simple pendulum in an elevator that is 2.52 s.The elevator is accelerating uniformly.What is the acceleration of the elevator? A)1.20 m/s² upward B)1.20 m/s² downward C)9.81 m/s² downward D)1.73 m/s² upward E)1.73 m/s² downward

Accepted Answer

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Question 39

What is the total energy of a 15-kg mass attached to a spring oscillating horizontally with an amplitude of 20 cm and an angular frequency of 32 rad/s?&#10;A)250 J&#10;B)125 J&#10;C)307 J&#10;D)439 J&#10;E)541 J&#10;

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Question 40

A 7.2-kg mass oscillates on a horizontal spring.The position of the object is given by the relation   (all units in MKS).What is the spring constant of the spring?&#10;A)0.12 kN/m&#10;B)2.1 kN/m&#10;C)5.4 kN/m&#10;D)6.3 kN/m&#10;E)7.5 kN/m&#10;

Accepted Answer

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Question 41

What is the period of oscillation for a 0.50-kg block which slides on a horizontal,frictionless plane,and is attached to a spring having spring constant 25 N/m?&#10;A)0.13 s&#10;B)0.14 s&#10;C)0.89 s&#10;D)1.1 s&#10;E)7.1 s&#10;

Accepted Answer

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Question 42

A mass m₁ = 7.0 kg is at rest on a frictionless horizontal surface and connected to a wall by an ideal spring with a spring constant of k = 50 N/m as shown in the figure.A second mass m₂ = 7.0 kg is moving to the left at v_O.The two masses then collide elastically.If the maximum compression of the spring is 1.2 m,what was the initial velocity of the second mass (v_O)?

A)3.21 m/s
B)2.45 m/s
C)8.00 m/s
D)5.88 m/s
E)6.32 m/s

Accepted Answer

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Question 43

A mass m₁ = 7.0 kg is at rest on a frictionless horizontal surface and connected to a wall by an ideal spring with a spring constant of k = 50 N/m as shown in the figure.A second mass m₂ = 3.0 kg is moving to the left at v_O = 8.0 m/s.The two masses then collide and stick together.What is the maximum compression of the spring?

A)0.48 m
B)1.1 m
C)2.0 m
D)2.4 m
E)16 m

Accepted Answer

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Question 44

A mass m₁ = 7.0 kg is at rest on a frictionless horizontal surface and connected to a wall by an ideal spring with a spring constant of k = 50 N/m as shown in the figure.A second mass m₂ = 7.0 kg is moving to the left at v_O = 8.0 m/s.The two masses then collide elastically.What is the maximum compression of the spring?

A)16 m
B)0.48 m
C)3.0 m
D)1.1 m
E)2.4 m

Accepted Answer

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Question 45

A simple harmonic oscillator consists of an object on a spring,with the whole of the apparatus in a vat of fluid.If the damping constant is exactly one tenth that required for critical damping,what is the ratio of the damped period to the oscillator's period if set in motion outside the vat of fluid?

A)1.005
B)1.000
C)0.995
D)0.949
E)More information is needed.

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Question 46

A mass m₁ = 7.0 kg is at rest on a frictionless horizontal surface and connected to a wall by an ideal spring with a spring constant of k = 50 N/m as shown in the figure.A second mass m₂ = 5.0 kg is moving to the left at v_O.The two masses then collide and stick together.If the maximum compression of the spring is 1.2 m,what was the initial velocity of the second mass (v_O)?

A)2.45 m/s
B)3.68 m/s
C)6.32 m/s
D)8.00 m/s
E)5.88 m/s

Accepted Answer

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Question 47

A seconds pendulum is a pendulum whose period is precisely two seconds;one second for a swing in one direction and one second for the return swing.The length of a seconds pendulum in Tokyo,Japan is 0.9927 m and that in Cambridge,England is 0.9942 m.The ratio of the acceleration due to gravity at the two places,g_T /g_L is

A)0.9987.
B)1.0000.
C)1.0008.
D)1.0015.
E)1.0150.

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Question 48

Consider the two pendulums shown in the figure.The one on the left has a 2.0-kg mass attached to a 3.0-m long string,while the one on the right has two 1.0-kg masses that are separated by a 2.0-m long string and then hung from another 2.0-m string.Which pendulum will have a shorter period?

A)The one on the left.
B)The one on the right.
C)They will have the same period.
D)There is not enough information to determine the answer.

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Question 49

A 2.0-kg mass is connected to a 5.0-kg mass by a massless rod 32 cm long,as shown in the figure.A hole is then drilled in the rod 11 cm away from the 2.0-kg mass and the rod and masses are free to rotate about this pivot point P.What is the angular frequency of rotational oscillations for the masses if they are displaced slightly from equilibrium?  &#10;A)5.3 rad/s&#10;B)3.53 rad/s&#10;C)2.9 rad/s&#10;D)5.8 rad/s&#10;E)1.4 rad/s&#10;

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Question 50

A 3.0-kg mass is attached to a spring with a spring constant of 7.0 N/m and set into simple harmonic motion with an amplitude of 5.0 cm.When the mass has 36% of its maximum kinetic energy,how far away is it from its equilibrium position?&#10;A)1.8 cm&#10;B)3.2 cm&#10;C)3.4 cm&#10;D)4.0 cm&#10;E)4.4 cm&#10;

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Question 51

A 2.0-kg mass is connected to a 5.0-kg mass by a massless rod 32 cm long,as shown in the figure.A hole is then drilled in the rod 11 cm away from the 2.0-kg mass and the rod and masses are free to rotate about this pivot point P.What is the period of rotational oscillations for the masses if they are displaced slightly from equilibrium?  &#10;A)0.19 s&#10;B)0.35 s&#10;C)0.88 s&#10;D)1.1 s&#10;E)1.9 s&#10;

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Question 52

A mass of 0.404 kg is attached to a spring with spring constant 204.9 N/m.Its oscillation is damped with a damping constant of b = 15.7 kg/s.What is the angular oscillation frequency of this damped oscillation? (in rad/s)&#10;A)8.560&#10;B)11.385&#10;C)15.143&#10;D)20.140&#10;E)26.786&#10;

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Question 53

An object undergoing simple harmonic motion in the x-direction has a period of 2.0 seconds,an amplitude of 5 cm and begins its oscillation at t = 0 at its maximum value of x.What equation could describe its motion?&#10;A)x(t)= 0.05 sin (2.0t + $\pi$/4)&#10;B)x(t)= 0.05 cos(2.0t + $\pi$/4)&#10;C)x(t)= 0.05 sin($\pi$t - $\pi$/4)&#10;D)x(t)= 0.05 cos($\pi$t)&#10;E)x(t)= 0.05 cos($\pi$t - $\pi$/4)&#10;

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Question 54

The energy of an oscillator decreases by 6.0% in one period.What is its Q factor?&#10;A)105&#10;B)78&#10;C)150&#10;D)94&#10;E)17&#10;

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The answer of The energy of an oscillator decreases by...

Question 55

A 20-kg mass is placed on a horizontal frictionless surface and then connected by two springs with spring constants k₁ = 5.0 N/m and k₂ = 3.0 N/m to walls as shown in the figure.What is the period of oscillations for the 20-kg mass if it is displaced slightly to one side? A)2.5 s B)7.0 s C)9.9 s D)14 s E)20 s

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Question 56

When Bobby swings on a swing,his period of oscillation is 2.5 s.When Geraldine,who is half Bobby's mass,rides the exact same swing,what is the ratio of her period of oscillation to his?&#10;A)2.0&#10;B)1.4&#10;C)1.0&#10;D)0.7&#10;E)0.5&#10;

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The answer of When Bobby swings on a swing,his period...

Question 57

An oscillator has a Q factor of 150.In one period its energy is decreased by&#10;A)8.4%.&#10;B)7.1%.&#10;C)4.2%.&#10;D)2.1%.&#10;E)1.09%.&#10;

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Question 58

A 2.0-kg mass is connected to a 5.0-kg mass by a massless rod 32 cm long,as shown in the figure.A hole is then drilled in the rod 11 cm away from the 2.0-kg mass and the rod and masses are free to rotate about this pivot point P.What is the frequency of rotational oscillations for the masses if they are displaced slightly from equilibrium?  &#10;A)1.4 Hz&#10;B)5.3 Hz&#10;C)2.9 Hz&#10;D)0.53 Hz&#10;E)0.92 Hz&#10;

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Question 59

A spring is suspended from the ceiling.When a mass of m kg is attached to the spring,it stretches d₁ m.The mass is then pulled down an additional d₂ m and released.Which one of the following statements is true concerning the equation of motion of the mass? A) B) C) D) E)

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Question 60

Water fills a length of 25 cm of a U tube.Water is slightly displaced and allowed to move freely inside the tube.   Assuming the amount of water in the curved section of the U-tube is negligible,what is the period of its motion?&#10;A)1.00 s.&#10;B)1.41 s.&#10;C)1.59 s.&#10;D)4.12 s.&#10;E)0.71 s.&#10;

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Question 61

An object is undergoing simple harmonic motion.The equation of motion of the object is y = Asin($\omega$t+$\delta$).The equation for the velocity as a function of time is A)v = A$\delta$cos($\omega$t+$\delta$). B)v = -A$\delta$sin($\omega$t+$\delta$). C)v = A$\omega$cos($\omega$t+$\delta$). D)v = -A$\omega$²cos($\omega$t+$\delta$). E)v = -A$\omega$²sin($\omega$t+$\delta$).

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The answer of An object is undergoing simple harmonic motion.The...

Question 62

A pendulum is composed of a mass of 2.00 kg suspended from the ceiling by a string.The pendulum makes 1000 complete oscillations in an hour.What is the length of the string in m?  &#10;A)2.11&#10;B)2.94&#10;C)3.22&#10;D)4.31&#10;E)6.62&#10;

Accepted Answer

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Question 63

Two objects oscillate on springs in simple harmonic motion.Object 1 has mass M₁,amplitude A₁,and a spring with a spring constant k₁.Object 2 has M₂ = 5 M₁,A₂ = 2 A₁,and k₂ = 1.5 k₁.How do the total energies of these two systems compare? A)E₂/E₁ = 1/6 B)E₂/E₁ = 6 C)E₂/E₁ = 5/6 D)E₂/E₁ = 6/5 E)E₂/E₁ = 30

Accepted Answer

The answer of Two objects oscillate on springs in simple...

Question 64

A spring of with a constant k is attached to a mass M.In order to double the frequency of oscillation of this system,I should&#10;A)double k.&#10;B)double m.&#10;C)double both m and k.&#10;D)increase the amplitude.&#10;E)use 1/4 of the mass.&#10;

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The answer of A spring of with a constant k...

Deck 14: Oscillations