Deck 12: Rotation of a Rigid Body

ملء الشاشة (f)
exit full mode
سؤال
The mathematical relationship between the angular acceleration and the angular velocity of a body is analogous to the mathematical relationship between

A) the angular velocity and the angle.
B) the angle and the angular velocity.
C) the angular velocity and the time.
D) the angle and the time.
استخدم زر المسافة أو
up arrow
down arrow
لقلب البطاقة.
سؤال
Dimensionally, correct relations among angle θ\theta , angular velocity ω\omega , and angular acceleration α\alpha include all of the following except

A) [α]=[ω][θ][ \alpha ] = [ \omega ] \cdot [ \theta ]
B) [ω]=[α][t][ \omega ] = [ \alpha ] \cdot [ \mathrm { t } ]
C) [θ]=[α][t2][ \theta ] = [ \alpha ] \cdot \left[ \mathrm { t } ^ { 2 } \right]
D) [ω]=[α][θ][ \omega ] = [ \alpha ] \cdot [ \theta ]
سؤال
For an object undergoing constant angular acceleration, all of the following change with time except

A) the slope of a graph of angular velocity versus time.
B) the angular position of the object.
C) the average angular velocity of the object.
D) the instantaneous angular velocity of the object.
سؤال
An object rotates with a constant angular acceleration of 10 rad/s2, an initial angular speed of 10 rad/s, and a final angular speed of 30 rad/s. Its total time of rotation is

A) 1.0 s.
B) 2.0 s.
C) 3.0 s.
D) 4.0 s.
سؤال
An object rotates with a constant angular acceleration of 10 rad/s2, an initial angular speed of 10 rad/s, and a final angular speed of 30 rad/s. Its average angular speed is

A) 10 rad/s.
B) 20 rad/s.
C) 30 rad/s.
D) 40 rad/s.
سؤال
An object rotates with a constant angular acceleration of 10 rad/s2, an initial angular speed of 10 rad/s, and a final angular speed of 30 rad/s. The angle turned through is

A) 10 rad.
B) 20 rad.
C) 30 rad.
D) 40 rad.
سؤال
An object rotates with a constant angular acceleration of 5.0 rad/s2, an initial angular speed of -10 rad/s, and a total time of rotation of 4.0 seconds. The average angular velocity has a magnitude of

A) +10 rad/s.
B) +20 rad/s.
C) -10 rad/s.
D) zero.
سؤال
An object rotates with a constant angular acceleration of 5.0 rad/s2, an initial angular speed of -10. rad/s, and a total time of rotation of 4.0 s. The instant at which the object has a zero instantaneous angular speed is

A) 1.0 s.
B) 2.0 s.
C) 3.0 s.
D) 4.0 s.
سؤال
The dimensions of the moment of inertia, I, are the same as those of

A) [mass].
B) [mass]·[distance].
C) [mass]·[distance]2.
D) [mass]/[distance]2.
سؤال
A point on a rotating object at a distance RR from the axis of rotation has associated with it several angular kinematic variables: namely θ,ω\theta , \omega , and α\alpha . To obtain the corresponding linear variables, one can multiply the respective angular variable by the factor

A) 1/R2.
B) 1/R.
C) R.
D) R2.
سؤال
The relation between the angular velocity ω \omega and the period T of a rotating object is

A) ω\omega
= 2 π\pi T.
B) T = 2 π\pi ω \omega
C) 2 π\pi ω \omega = l/T.
D) T = 2 π\pi / ω \omega
سؤال
A hollow sphere, a solid sphere, a hollow right cylinder (or hoop), and a solid right cylinder, each with the same total mass and identical maximum radius, are each rotated about their axis of symmetry. The object with the largest moment of inertia is the

A) hollow sphere.
B) solid sphere.
C) hollow right cylinder (or hoop).
D) solid right cylinder.
سؤال
A particle moves with constant velocity. At instant t = 0, the particle is at the position of minimum separation from fixed point P. Its angular momentum about P is L ( ≠̸\not \neq 0). Subsequently its angular momentum about point P

A) increases with time.
B) decreases with time.
C) does not change with time.
D) Hold it! A particle moving with constant velocity has no angular momentum.
سؤال
A wheel with an initial ω=0\omega = 0 rotates at constant α(0)\alpha ( \neq 0 ) . A while later, the acceleration of a point on the rim must include all of the following except

A) a tangential component.
B) a radial component.
C) a fixed direction, with respect to a radial line connecting the point on the rim to the axis of rotation.
D) Hold it! There are no exceptions.
سؤال
The centripetal acceleration for a point on a rotating object is

A) R ω \omega
B) R2 ω \omega
C) ω \omega /R2.
D) R ω \omega 2 .
سؤال
A flat plate is placed within the plane of the paper. The plate is rotating counterclockwise around an axis that is perpendicular to the plate. The direction of its angular momentum is

A) out of the paper toward the observer.
B) into the paper away from the observer.
C) counterclockwise in the plane of the paper.
D) clockwise in the plane of the paper.
سؤال
In many situations in physics, the order of two events does not affect the final outcome. An exception to this rule occurs for the case of

A) two successive rotations performed on a body about different axes.
B) two successive translations given to a body about different axes.
C) two successive rotations performed on a body about the same axis.
D) two successive translations given to a body about the same axis.
سؤال
A thin rod of length L has a mass/length ratio proportional to x-the distance measured from end A. The moment of inertia of the rod about an axis passing through A, perpendicular to the rod, is

A) proportional to x.
B) proportional to x2.
C) proportional to x3.
D) proportional to x4.
سؤال
The Earth on its path around the Sun has an orbital angular momentum J and a spin angular momentum S due to its rotation about its own axis. Knowing the relationship between the year and the day, the Earth's radius, and the Earth-Sun distance, the ballpark relation between the magnitudes of J and S is

A) J larger than S.
B) J approximately equal to S.
C) J less than S.
D) Hold it! Comparing these two quantities is not legitimate because they are quantities that do not have anything in common.
سؤال
The direction of the angular momentum for an extended body lies along the axis of rotation

A) if that axis is an axis of symmetry.
B) for small rotational speeds.
C) both of the above answers are correct.
D) neither of the above answers is correct.
سؤال
A uniform, flat, square plate has a mass of 3.0 kg and a side 2.0 m in length. The moment of inertia about an axis that passes through its center and is parallel to one edge is 1.0 kg·m2. The moment of inertia of the plate about one edge is

A) 2.0 kg·m2.
B) 4.0 kg·m2.
C) 12 kg·m2.
D) 13 kg·m2.
سؤال
A uniform, flat, square plate has a mass of 3.0 kg and a side 2.0 m in length. The moment of inertia about an axis that passes through its center and is parallel to one edge is 1.0 kg·m2. The moment of inertia of the plate about an axis perpendicular to the plane through its center is

A) 2.0 kg·m2.
B) 4.0 kg·m2.
C) 12 kg·m2.
D) 13 kg·m2.
سؤال
Two masses, M1 = 2.0 kg and M2 = 4.0 kg, are joined by a rigid rod of negligible mass and length 6.0 m. The moment of inertia of the system about an axis perpendicular to the rod and passing through the center of mass is

A) 12 kg·m2.
B) 24 kg·m2.
C) 36 kg·m2.
D) 48 kg·m2.
سؤال
The average distance between the Earth and the Sun is 1.5 ×\times 1011 m. The tangential speed of the Earth in its orbit about the Sun is

A) 45 km/s.
B) 60 km/s.
C) 15 km/s.
D) 30 km/s.
سؤال
The dimensions of the radian are

A) length/degrees.
B) degrees/length.
C) length.
D) Hold it! The radian is dimensionless.
سؤال
An object undergoes a rotation of 115° in a circular path 1.0 m in radius. The length of circular arc the object traverses is

A) 1.0 ×\times 102 m.
B) 2.0 m.
C) 1.0 m.
D) 0.0 m.
سؤال
The average Earth-Sun distance is approximately 1.5 x 1011 m, and the Sun's radius is approximately 7.0 x 108 m. The approximate angle (in degrees) that the Sun subtends when viewed from Earth is

A) 1/4°.
B) 1/2°.
C) 1°.
D) 2°.
سؤال
A car's engine redlines (reaches its maximum rotational frequency) at 8000 rpm. The time taken for one revolution is

A) 2.5 ms.
B) 5.0 ms.
C) 7.5 ms.
D) 10. ms.
سؤال
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. The angle the wheel has turned in 2.0 s is

A) -2.0 rad.
B) 0 rad.
C) 2.0 rad.
D) 5.0 rad.
سؤال
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. The wheel's angular velocity at 2.0 s is

A) -7.0 rad/s.
B) 7.0 rad/s.
C) 5.0 rad/s.
D) -5.0 rad/s.
سؤال
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. The wheel's instantaneous angular acceleration at t = 2.0 s is

A) -6.0 rad/s2.
B) -3 rad/s2.
C) 0 rad/s2.
D) 3 rad/s2.
سؤال
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. At t = 2.0 s the magnitude of the tangential speed of an object placed 10.0 cm from the center of the wheel is

A) 1.0 m/s.
B) 0.50 m/s.
C) 0.0 m/s.
D) 1.5 m/s.
E) 2.0 m/s.
سؤال
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. At t = 2.0 s the magnitude of the tangential acceleration of an object placed 10.0 cm from the center of the wheel is

A) -0.60 m/s2.
B) -0.30 m/s2.
C) 0 m/s2.
D) 0.30 m/s2.
سؤال
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. At t = 2.0 s the centripetal acceleration of an object 10.0 cm from the center of the wheel is

A) 5.0 m/s2.
B) 2.5 m/s2.
C) 1.3 m/s2.
D) 0 m/s2.
سؤال
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. At t = 2.0 s the net acceleration of an object 10.0 cm from the center of the wheel is

A) 0 m/s2.
B) 1.3 m/s2.
C) 2.6 m/s2.
D) 3.9 m/s2.
سؤال
A car can accelerate from zero to 25 m/s in 9.5 seconds. If the diameter of the car's tire is 28 cm, the angular acceleration of the tire is

A) 89 rad/s2.
B) 19 rad/s2.
C) 49 rad/s2.
D) 9.4 rad/s2.
سؤال
Two point masses of 5.0 kg and 15.0 kg, separated by 2.0 m, are spinning about their center of mass. The moment of inertia of the system is

A) 5.0 kg.m2.
B) 10 kg.m2.
C) 16 kg.m2.
D) 20 kg.m2.
سؤال
Two point masses of 5.0 kg and 15.0 kg, separated by 2.0 m, are spinning about their combined center of mass. When the system rotates at 0.80 rad/s, the kinetic energy for the motion is

A) 5.0 J.
B) 3.8 J.
C) 0 J.
D) 13 J.
سؤال
An object is rotating with an angular acceleration given by α=c+dt2\alpha = c + d t ^ { 2 } , where \surd is in radians/s2, t is in seconds, c = -3.0 rad/s2, and d = 0.40 rad/s4. At t = 2.0 s the angular acceleration of the object is

A) -2.2 rad/s2.
B) -1.4 rad/s2.
C) 3.8 rad/s2.
D) 4.6 rad/s2.
سؤال
An object, starting from rest, rotates with an angular acceleration given by α=c+dt2\alpha = c + d t ^ { 2 } , where \surd is in radians/s2, t is in seconds, c = -3.0 rad/s2 and d = 0.40 rad/s4. At t = 2.0 s the angular velocity of the object is

A) -1.1 rad/s.
B) 1.1 rad/s.
C) -4.9 rad/s.
D) -7.1 rad/s.
سؤال
An object, starting from rest at the origin, rotates with an angular acceleration given by α=c+dt2\alpha = c + d t ^ { 2 } , where \surd is in radians/s2, t is in seconds, c = -3.0 rad/s2, and d = 0.40 rad/s4. At time t = 2.0 s, the rotation (in radians) the object has made is

A) -1.1 rad.
B) 1.1 rad.
C) -4.9 rad.
D) -5.5 rad.
سؤال
A thin rod 1.0 m in length has a mass of 1.0 kg. Moving the axis of rotation will change the moment of inertia of the rod. The position, relative to the end of the rod, of the axis of rotation perpendicular to the rod for the moment of inertia to be three times the moment of inertia about an axis perpendicular to the rod passing through its center of mass is

A) 5.3 cm.
B) 9.2 cm.
C) 11 cm.
D) 25 cm.
سؤال
A cylinder starting from rest is accelerated at 5.5 rad/s2. The number of revolutions the cylinder turns through in 4.0 s is

A) 7.0.
B) 25.
C) 35.
D) 44.
سؤال
Two uniform solid spheres have masses M0 and (1/2)M0 and radii R0 and (1/2)R0 respectively. The ratio of their moments of inertia about their own diameters is

A) 8:1.
B) 4:1.
C) 2:1.
D) 1:1.
سؤال
Two masses, MA = 1.0 kg and MB = 2.5 kg, are attached at the opposite ends of a rod 1.0 m in length. The mass of the rod is 1.5 kg. The moment of inertia of the system about an axis perpendicular to the rod passing through its center is

A) 1.0 kg.m2.
B) 1.5 kg.m2.
C) 2.0 kg.m2.
D) 2.5 kg.m2.
سؤال
A uniform solid sphere with a mass of 0.15 kg rolls without slipping with a tangential velocity of 1.0 m/s. The kinetic energy of rotation of the sphere is

A) 30 mJ.
B) 15 mJ.
C) 60 mJ.
D) 45 mJ.
سؤال
An object is placed on a turntable (rotating platter) 25.0 cm from the center of rotation. The coefficient of friction between the turntable and object is 0.40. The turntable starts from rest (at time t = 0) with and is accelerated at 0.10 rad/s2. The object will begin to slide off the turntable after

A) 20 s.
B) 40 s.
C) 60 s.
D) Not enough information is given to solve this problem.
سؤال
A uniform solid sphere has a mass M and radius R. Its moment of inertia about an axis tangent to the surface of the sphere is:

A) (2/5)MR2.
B) MR2.
C) (7/5)MR2.
D) (5/2)MR2.
سؤال
A billiard ball of mass 0.16 kg, radius 2.86 cm, and moment of inertia about its diameter of 5.23 ×\times 10-5 kg·m2 moves on a table at 1.5 m/s. The rotational kinetic energy of the ball is

A) 0 J.
B) 0.072 J.
C) 0.14 J.
D) 0.25 J.
سؤال
A billiard ball of mass 0.16 kg, radius 2.86 cm, and moment of inertia about its diameter of 5.23 ×\times 10-5 kg·m2 moves on a table at 1.5 m/s. The total kinetic energy of the ball is

A) 0.072 J.
B) 0.14 J.
C) 0.25 J.
D) 0.32 J.
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/50
auto play flashcards
العب
simple tutorial
ملء الشاشة (f)
exit full mode
Deck 12: Rotation of a Rigid Body
1
The mathematical relationship between the angular acceleration and the angular velocity of a body is analogous to the mathematical relationship between

A) the angular velocity and the angle.
B) the angle and the angular velocity.
C) the angular velocity and the time.
D) the angle and the time.
the angular velocity and the angle.
2
Dimensionally, correct relations among angle θ\theta , angular velocity ω\omega , and angular acceleration α\alpha include all of the following except

A) [α]=[ω][θ][ \alpha ] = [ \omega ] \cdot [ \theta ]
B) [ω]=[α][t][ \omega ] = [ \alpha ] \cdot [ \mathrm { t } ]
C) [θ]=[α][t2][ \theta ] = [ \alpha ] \cdot \left[ \mathrm { t } ^ { 2 } \right]
D) [ω]=[α][θ][ \omega ] = [ \alpha ] \cdot [ \theta ]
[α]=[ω][θ][ \alpha ] = [ \omega ] \cdot [ \theta ]
3
For an object undergoing constant angular acceleration, all of the following change with time except

A) the slope of a graph of angular velocity versus time.
B) the angular position of the object.
C) the average angular velocity of the object.
D) the instantaneous angular velocity of the object.
the slope of a graph of angular velocity versus time.
4
An object rotates with a constant angular acceleration of 10 rad/s2, an initial angular speed of 10 rad/s, and a final angular speed of 30 rad/s. Its total time of rotation is

A) 1.0 s.
B) 2.0 s.
C) 3.0 s.
D) 4.0 s.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
5
An object rotates with a constant angular acceleration of 10 rad/s2, an initial angular speed of 10 rad/s, and a final angular speed of 30 rad/s. Its average angular speed is

A) 10 rad/s.
B) 20 rad/s.
C) 30 rad/s.
D) 40 rad/s.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
6
An object rotates with a constant angular acceleration of 10 rad/s2, an initial angular speed of 10 rad/s, and a final angular speed of 30 rad/s. The angle turned through is

A) 10 rad.
B) 20 rad.
C) 30 rad.
D) 40 rad.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
7
An object rotates with a constant angular acceleration of 5.0 rad/s2, an initial angular speed of -10 rad/s, and a total time of rotation of 4.0 seconds. The average angular velocity has a magnitude of

A) +10 rad/s.
B) +20 rad/s.
C) -10 rad/s.
D) zero.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
8
An object rotates with a constant angular acceleration of 5.0 rad/s2, an initial angular speed of -10. rad/s, and a total time of rotation of 4.0 s. The instant at which the object has a zero instantaneous angular speed is

A) 1.0 s.
B) 2.0 s.
C) 3.0 s.
D) 4.0 s.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
9
The dimensions of the moment of inertia, I, are the same as those of

A) [mass].
B) [mass]·[distance].
C) [mass]·[distance]2.
D) [mass]/[distance]2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
10
A point on a rotating object at a distance RR from the axis of rotation has associated with it several angular kinematic variables: namely θ,ω\theta , \omega , and α\alpha . To obtain the corresponding linear variables, one can multiply the respective angular variable by the factor

A) 1/R2.
B) 1/R.
C) R.
D) R2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
11
The relation between the angular velocity ω \omega and the period T of a rotating object is

A) ω\omega
= 2 π\pi T.
B) T = 2 π\pi ω \omega
C) 2 π\pi ω \omega = l/T.
D) T = 2 π\pi / ω \omega
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
12
A hollow sphere, a solid sphere, a hollow right cylinder (or hoop), and a solid right cylinder, each with the same total mass and identical maximum radius, are each rotated about their axis of symmetry. The object with the largest moment of inertia is the

A) hollow sphere.
B) solid sphere.
C) hollow right cylinder (or hoop).
D) solid right cylinder.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
13
A particle moves with constant velocity. At instant t = 0, the particle is at the position of minimum separation from fixed point P. Its angular momentum about P is L ( ≠̸\not \neq 0). Subsequently its angular momentum about point P

A) increases with time.
B) decreases with time.
C) does not change with time.
D) Hold it! A particle moving with constant velocity has no angular momentum.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
14
A wheel with an initial ω=0\omega = 0 rotates at constant α(0)\alpha ( \neq 0 ) . A while later, the acceleration of a point on the rim must include all of the following except

A) a tangential component.
B) a radial component.
C) a fixed direction, with respect to a radial line connecting the point on the rim to the axis of rotation.
D) Hold it! There are no exceptions.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
15
The centripetal acceleration for a point on a rotating object is

A) R ω \omega
B) R2 ω \omega
C) ω \omega /R2.
D) R ω \omega 2 .
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
16
A flat plate is placed within the plane of the paper. The plate is rotating counterclockwise around an axis that is perpendicular to the plate. The direction of its angular momentum is

A) out of the paper toward the observer.
B) into the paper away from the observer.
C) counterclockwise in the plane of the paper.
D) clockwise in the plane of the paper.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
17
In many situations in physics, the order of two events does not affect the final outcome. An exception to this rule occurs for the case of

A) two successive rotations performed on a body about different axes.
B) two successive translations given to a body about different axes.
C) two successive rotations performed on a body about the same axis.
D) two successive translations given to a body about the same axis.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
18
A thin rod of length L has a mass/length ratio proportional to x-the distance measured from end A. The moment of inertia of the rod about an axis passing through A, perpendicular to the rod, is

A) proportional to x.
B) proportional to x2.
C) proportional to x3.
D) proportional to x4.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
19
The Earth on its path around the Sun has an orbital angular momentum J and a spin angular momentum S due to its rotation about its own axis. Knowing the relationship between the year and the day, the Earth's radius, and the Earth-Sun distance, the ballpark relation between the magnitudes of J and S is

A) J larger than S.
B) J approximately equal to S.
C) J less than S.
D) Hold it! Comparing these two quantities is not legitimate because they are quantities that do not have anything in common.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
20
The direction of the angular momentum for an extended body lies along the axis of rotation

A) if that axis is an axis of symmetry.
B) for small rotational speeds.
C) both of the above answers are correct.
D) neither of the above answers is correct.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
21
A uniform, flat, square plate has a mass of 3.0 kg and a side 2.0 m in length. The moment of inertia about an axis that passes through its center and is parallel to one edge is 1.0 kg·m2. The moment of inertia of the plate about one edge is

A) 2.0 kg·m2.
B) 4.0 kg·m2.
C) 12 kg·m2.
D) 13 kg·m2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
22
A uniform, flat, square plate has a mass of 3.0 kg and a side 2.0 m in length. The moment of inertia about an axis that passes through its center and is parallel to one edge is 1.0 kg·m2. The moment of inertia of the plate about an axis perpendicular to the plane through its center is

A) 2.0 kg·m2.
B) 4.0 kg·m2.
C) 12 kg·m2.
D) 13 kg·m2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
23
Two masses, M1 = 2.0 kg and M2 = 4.0 kg, are joined by a rigid rod of negligible mass and length 6.0 m. The moment of inertia of the system about an axis perpendicular to the rod and passing through the center of mass is

A) 12 kg·m2.
B) 24 kg·m2.
C) 36 kg·m2.
D) 48 kg·m2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
24
The average distance between the Earth and the Sun is 1.5 ×\times 1011 m. The tangential speed of the Earth in its orbit about the Sun is

A) 45 km/s.
B) 60 km/s.
C) 15 km/s.
D) 30 km/s.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
25
The dimensions of the radian are

A) length/degrees.
B) degrees/length.
C) length.
D) Hold it! The radian is dimensionless.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
26
An object undergoes a rotation of 115° in a circular path 1.0 m in radius. The length of circular arc the object traverses is

A) 1.0 ×\times 102 m.
B) 2.0 m.
C) 1.0 m.
D) 0.0 m.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
27
The average Earth-Sun distance is approximately 1.5 x 1011 m, and the Sun's radius is approximately 7.0 x 108 m. The approximate angle (in degrees) that the Sun subtends when viewed from Earth is

A) 1/4°.
B) 1/2°.
C) 1°.
D) 2°.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
28
A car's engine redlines (reaches its maximum rotational frequency) at 8000 rpm. The time taken for one revolution is

A) 2.5 ms.
B) 5.0 ms.
C) 7.5 ms.
D) 10. ms.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
29
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. The angle the wheel has turned in 2.0 s is

A) -2.0 rad.
B) 0 rad.
C) 2.0 rad.
D) 5.0 rad.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
30
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. The wheel's angular velocity at 2.0 s is

A) -7.0 rad/s.
B) 7.0 rad/s.
C) 5.0 rad/s.
D) -5.0 rad/s.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
31
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. The wheel's instantaneous angular acceleration at t = 2.0 s is

A) -6.0 rad/s2.
B) -3 rad/s2.
C) 0 rad/s2.
D) 3 rad/s2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
32
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. At t = 2.0 s the magnitude of the tangential speed of an object placed 10.0 cm from the center of the wheel is

A) 1.0 m/s.
B) 0.50 m/s.
C) 0.0 m/s.
D) 1.5 m/s.
E) 2.0 m/s.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
33
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. At t = 2.0 s the magnitude of the tangential acceleration of an object placed 10.0 cm from the center of the wheel is

A) -0.60 m/s2.
B) -0.30 m/s2.
C) 0 m/s2.
D) 0.30 m/s2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
34
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. At t = 2.0 s the centripetal acceleration of an object 10.0 cm from the center of the wheel is

A) 5.0 m/s2.
B) 2.5 m/s2.
C) 1.3 m/s2.
D) 0 m/s2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
35
A wheel undergoes rotational motion according to the equation ϕ(rad)=ct+dt3\phi ( \mathrm { rad } ) = c t + d t ^ { 3 } , where \surd is in radians, c = 1.0 rad/s, and d = -0.50 rad/s3. At t = 2.0 s the net acceleration of an object 10.0 cm from the center of the wheel is

A) 0 m/s2.
B) 1.3 m/s2.
C) 2.6 m/s2.
D) 3.9 m/s2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
36
A car can accelerate from zero to 25 m/s in 9.5 seconds. If the diameter of the car's tire is 28 cm, the angular acceleration of the tire is

A) 89 rad/s2.
B) 19 rad/s2.
C) 49 rad/s2.
D) 9.4 rad/s2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
37
Two point masses of 5.0 kg and 15.0 kg, separated by 2.0 m, are spinning about their center of mass. The moment of inertia of the system is

A) 5.0 kg.m2.
B) 10 kg.m2.
C) 16 kg.m2.
D) 20 kg.m2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
38
Two point masses of 5.0 kg and 15.0 kg, separated by 2.0 m, are spinning about their combined center of mass. When the system rotates at 0.80 rad/s, the kinetic energy for the motion is

A) 5.0 J.
B) 3.8 J.
C) 0 J.
D) 13 J.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
39
An object is rotating with an angular acceleration given by α=c+dt2\alpha = c + d t ^ { 2 } , where \surd is in radians/s2, t is in seconds, c = -3.0 rad/s2, and d = 0.40 rad/s4. At t = 2.0 s the angular acceleration of the object is

A) -2.2 rad/s2.
B) -1.4 rad/s2.
C) 3.8 rad/s2.
D) 4.6 rad/s2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
40
An object, starting from rest, rotates with an angular acceleration given by α=c+dt2\alpha = c + d t ^ { 2 } , where \surd is in radians/s2, t is in seconds, c = -3.0 rad/s2 and d = 0.40 rad/s4. At t = 2.0 s the angular velocity of the object is

A) -1.1 rad/s.
B) 1.1 rad/s.
C) -4.9 rad/s.
D) -7.1 rad/s.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
41
An object, starting from rest at the origin, rotates with an angular acceleration given by α=c+dt2\alpha = c + d t ^ { 2 } , where \surd is in radians/s2, t is in seconds, c = -3.0 rad/s2, and d = 0.40 rad/s4. At time t = 2.0 s, the rotation (in radians) the object has made is

A) -1.1 rad.
B) 1.1 rad.
C) -4.9 rad.
D) -5.5 rad.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
42
A thin rod 1.0 m in length has a mass of 1.0 kg. Moving the axis of rotation will change the moment of inertia of the rod. The position, relative to the end of the rod, of the axis of rotation perpendicular to the rod for the moment of inertia to be three times the moment of inertia about an axis perpendicular to the rod passing through its center of mass is

A) 5.3 cm.
B) 9.2 cm.
C) 11 cm.
D) 25 cm.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
43
A cylinder starting from rest is accelerated at 5.5 rad/s2. The number of revolutions the cylinder turns through in 4.0 s is

A) 7.0.
B) 25.
C) 35.
D) 44.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
44
Two uniform solid spheres have masses M0 and (1/2)M0 and radii R0 and (1/2)R0 respectively. The ratio of their moments of inertia about their own diameters is

A) 8:1.
B) 4:1.
C) 2:1.
D) 1:1.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
45
Two masses, MA = 1.0 kg and MB = 2.5 kg, are attached at the opposite ends of a rod 1.0 m in length. The mass of the rod is 1.5 kg. The moment of inertia of the system about an axis perpendicular to the rod passing through its center is

A) 1.0 kg.m2.
B) 1.5 kg.m2.
C) 2.0 kg.m2.
D) 2.5 kg.m2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
46
A uniform solid sphere with a mass of 0.15 kg rolls without slipping with a tangential velocity of 1.0 m/s. The kinetic energy of rotation of the sphere is

A) 30 mJ.
B) 15 mJ.
C) 60 mJ.
D) 45 mJ.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
47
An object is placed on a turntable (rotating platter) 25.0 cm from the center of rotation. The coefficient of friction between the turntable and object is 0.40. The turntable starts from rest (at time t = 0) with and is accelerated at 0.10 rad/s2. The object will begin to slide off the turntable after

A) 20 s.
B) 40 s.
C) 60 s.
D) Not enough information is given to solve this problem.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
48
A uniform solid sphere has a mass M and radius R. Its moment of inertia about an axis tangent to the surface of the sphere is:

A) (2/5)MR2.
B) MR2.
C) (7/5)MR2.
D) (5/2)MR2.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
49
A billiard ball of mass 0.16 kg, radius 2.86 cm, and moment of inertia about its diameter of 5.23 ×\times 10-5 kg·m2 moves on a table at 1.5 m/s. The rotational kinetic energy of the ball is

A) 0 J.
B) 0.072 J.
C) 0.14 J.
D) 0.25 J.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
50
A billiard ball of mass 0.16 kg, radius 2.86 cm, and moment of inertia about its diameter of 5.23 ×\times 10-5 kg·m2 moves on a table at 1.5 m/s. The total kinetic energy of the ball is

A) 0.072 J.
B) 0.14 J.
C) 0.25 J.
D) 0.32 J.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.
فتح الحزمة
k this deck
locked card icon
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 50 في هذه المجموعة.