Question 1

A thin cylindrical shell is released from rest and rolls without slipping down an inclined plane that makes an angle of 30° with the horizontal. How long does it take it to travel 3.1 m?

Accepted Answer

A)  1.4 s
B)  1.1 s
C)  2.1 s
D)  1.6 s
E)  1.8 sF) None of the above
G) B) and E)

Question 2

A child is riding a merry-go-round which completes one revolution every 8.36 s. The child is standing 4.65 m from the center of the merry-go-round.
(a) What is the tangential speed of the child?
(b) What is the magnitude of the centripetal acceleration of the child?

Accepted Answer

(a) 3.49 m...

Question 3

A boy and a girl are riding on a merry-go-round that is turning. The boy is twice as far as the girl from the merry-go-round's center. If the boy and girl are of equal mass, which statement is true about the boy's moment of inertia with respect to the axis of rotation?

Accepted Answer

A)  His moment of inertia is 4 times the girl's.
B)  His moment of inertia is twice the girl's.
C)  The moment of inertia is the same for both.
D)  The boy has a greater moment of inertia, but it is impossible to say exactly how much more.
E)  The boy has a smaller moment of inertia, but it is impossible to say exactly how much smaller.F) A) and B)
G) All of the above

Question 4

A 10.0-kg mass is located at the (1.00 m)  + (2.00 m)  + (2.00 m)  . A 5.00-kg mass is located at (-1.00 m)  + (1.00 m)  + (1.00 m)  .
(a) Determine the moment of inertia of this system about an axis through the origin parallel to the x-axis.
(b) Determine the moment of inertia of this system about an axis through the origin parallel to the y-axis.
(c) Determine the moment of inertia of this system about an axis through the origin parallel to the z-axis.

Accepted Answer

(a) 90.0 k...

Question 5

The parallel-axis theorem can be applied only to flat objects.

Accepted Answer

A) True 
 B)False

Question 6

A 2.00-kg solid sphere of radius 5.00 cm rolls down a 20.0° inclined plane starting from rest.
(a) What is the magnitude of the acceleration of the center of mass of the sphere?
(b) How far down the plane does it roll without slipping in 1.00 s?

Accepted Answer

The answer of A 2.00-kg solid sphere of radius 5.00...

Question 7

How long does it take for a rotating object to speed up from 15.0 to 33.3 rad/s if it has an angular acceleration of 3.45 rad/s2?

Accepted Answer

A)  4.35 s
B)  5.30 s
C)  9.57 s
D)  10.6 s
E)  63.1 sF) All of the above
G) B) and C)

Question 8

Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger linear displacement?

Accepted Answer

A)  Child A
B)  Child B
C)  They have the same zero linear displacement.
D)  They have the same non-zero linear displacement.
E)  There is not enough information given to answer the question.F) B) and C)
G) A) and E)

Question 9

A wrench is acting on a nut. The length of the wrench lies directly to the east of the nut. A force 150 N acts on the wrench at a position 15.0 cm from the center of the nut in a direction 30.0° north of east. What is the torque about the center of the nut?

Accepted Answer

A)  22.5 N∙m
B)  11.3 N∙m
C)  19.5 N∙m
D)  2250 N∙m
E)  1949 N∙mF) A) and C)
G) A) and E)

Question 10

Consider a rigid body that is rotating. Which of the following is an accurate statement?

Accepted Answer

A)  Its center of rotation is its center of gravity.
B)  All points on the body are moving with the same angular velocity.
C)  All points on the body are moving with the same linear velocity.
D)  Its center of rotation is at rest, i.e., not moving.
E)  Its center of rotation is accelerating.F) B) and C)
G) All of the above

Question 11

In a lab experiment, a student brings up the rotational speed of a rotational motion apparatus to 30.0 rpm. She then allows the apparatus to slow down on its own, and counts 240 revolutions before the apparatus comes to a stop. The moment of inertia of the flywheel is 0.0850 kg∙m2. What is the retarding torque on the flywheel?

Accepted Answer

A)  0.0425 Nm
B)  0.159 Nm
C)  0.0787Nm
D)  0.000278 Nm
E)  0.0000136 NmF) B) and C)
G) A) and E)

Question 12

Consider a solid sphere of radius R and mass M rolling without slipping. Which form of kinetic energy is larger, translational or rotational?

Accepted Answer

A)  Translational kinetic energy is larger.
B)  Rotational kinetic energy is larger.
C)  Both are equal.
D)  You need to know the speed of the sphere to tell.
E)  You need to know the acceleration of the sphere to tell.F) A) and D)
G) A) and B)

Question 13

Determine the moment of inertia of an equilateral triangular plate of mass M and sides L about an axis perpendicular to the plate that passes through one vertex of the triangle.

Accepted Answer

A)  3ML2/8
B)   2/8 
B)     ML2/2 
C)     ML2/4 
D)  3ML2/4 
E)  5ML2/12" class="answers-bank-image d-inline" rel="preload" > ML2/2
C)   2/8 
B)     ML2/2 
C)     ML2/4 
D)  3ML2/4 
E)  5ML2/12" class="answers-bank-image d-inline" rel="preload" > ML2/4
D)  3ML2/4
E)  5ML2/12F) All of the above
G) None of the above

Question 14

A 10.0-kg rod has a varying linear density that is symmetric about the midpoint of the rod. The moment of inertia about an axis perpendicular to the rod that passes through the rod 30.0 cm from its midpoint is 5.00 kg∙m2. What is the moment of inertia about an axis perpendicular to the rod that passes through the rod 20.0 cm from its midpoint?

Accepted Answer

A)  7.50 kg∙m2 
B)  4.50 kg∙m2 
C)  5.10 kg∙m2 
D)  4.90 kg∙m2 
E)  Answer depends on whether the new axis is on the same side of the midpoint as the 30.0 cm distant axis or if its on the opposite side of the midpoint.F) D) and E)
G) A) and B)

Question 15

FIGURE 10-2 
-A ball is released from rest on a no-slip surface, as shown. After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface as shown in Fig. 10-2. When the ball reaches its maximum height on the frictionless surface, it is

Accepted Answer

A)  at a greater height as when it was released.
B)  at a lesser height as when it was released.
C)  at the same height as when it was released.
D)  impossible to tell without knowing the mass of the ball.
E)  impossible to tell without knowing the radius of the ball.F) A) and E)
G) C) and D)

Question 16

A horizontal 2.00-m long, 5.00-kg uniform beam that lies along the east-west direction is acted on by two forces. At the east end of the beam, a 200-N forces pushes downward. At the west end of the beam, a 200-N force pushed upward. What is the angular acceleration of the beam?

Accepted Answer

A)  240 rad/s2 north
B)  1.33 × 102 rad/s2 north
C)  zero
D)  240 rad/s2 south
E)  1.33 × 102 rad/s2 southF) A) and B)
G) D) and E)

Question 17

A pulley has an initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2. Through what angle does the pulley turn in 5.26 s?

Accepted Answer

A)  113 rad
B)  22.6 rad
C)  42.6 rad
D)  19.3 rad
E)  160 radF) B) and C)
G) C) and E)

Question 18

A car is traveling at 20.0 m/s on tires with a diameter of 70.0 cm. The car slows to a rest after traveling 300.0 m. If the tires rolled without slipping, what was the magnitude of the average angular acceleration of the tires during the time the car slowed to a rest?

Accepted Answer

A)  0.667 rad/s2 
B)  1.33 rad/s2 
C)  0.952 rad/s2 
D)  1.67 rad/s2 
E)  1.90 rad/s2 F) B) and C)
G) None of the above

Question 19

A hoop is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts down a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the hoop after it has rolled 3.00 m down the ramp?

Accepted Answer

A)  4.87 m/s
B)  6.34 m/s
C)  5.23 m/s
D)  5.72 m/s
E)  8.02 m/sF) None of the above
G) A) and E)

Exam 10: Rotational Motion

A horizontal 2.00-m long, 5.00-kg uniform beam that lies along the east-west direction is acted on by two forces. At the east end of the beam, a 200-N forces pushes downward. At the west end of the beam, a 200-N force pushed upward. What is the angular acceleration of the beam?

Correct Answer
verified

How long does it take for a rotating object to speed up from 15.0 to 33.3 rad/s if it has an angular acceleration of 3.45 rad/s²?

Correct Answer
verified

A car is traveling at 20.0 m/s on tires with a diameter of 70.0 cm. The car slows to a rest after traveling 300.0 m. If the tires rolled without slipping, what was the magnitude of the average angular acceleration of the tires during the time the car slowed to a rest?

Correct Answer
verified

A hoop is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts down a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the hoop after it has rolled 3.00 m down the ramp?

Correct Answer
verified

A wrench is acting on a nut. The length of the wrench lies directly to the east of the nut. A force 150 N acts on the wrench at a position 15.0 cm from the center of the nut in a direction 30.0° north of east. What is the torque about the center of the nut?

Correct Answer
verified

A child is riding a merry-go-round which completes one revolution every 8.36 s. The child is standing 4.65 m from the center of the merry-go-round. (a) What is the tangential speed of the child? (b) What is the magnitude of the centripetal acceleration of the child?

Correct Answer
verified
(a) 3.49 m...
View Answer

Correct Answer
verified

Consider a solid sphere of radius R and mass M rolling without slipping. Which form of kinetic energy is larger, translational or rotational?

Correct Answer
verified

A pulley has an initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s². Through what angle does the pulley turn in 5.26 s?

Correct Answer
verified

Correct Answer
verified

Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger linear displacement?

Correct Answer
verified

The parallel-axis theorem can be applied only to flat objects.

Correct Answer
verified

A thin cylindrical shell is released from rest and rolls without slipping down an inclined plane that makes an angle of 30° with the horizontal. How long does it take it to travel 3.1 m?

Correct Answer
verified

Consider a rigid body that is rotating. Which of the following is an accurate statement?

Correct Answer
verified

FIGURE 10-2 -A ball is released from rest on a no-slip surface, as shown. After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface as shown in Fig. 10-2. When the ball reaches its maximum height on the frictionless surface, it is

Correct Answer
verified

Determine the moment of inertia of an equilateral triangular plate of mass M and sides L about an axis perpendicular to the plate that passes through one vertex of the triangle.

Correct Answer
verified

Correct Answer
verified
(a) 90.0 k...
View Answer

A boy and a girl are riding on a merry-go-round that is turning. The boy is twice as far as the girl from the merry-go-round's center. If the boy and girl are of equal mass, which statement is true about the boy's moment of inertia with respect to the axis of rotation?

Correct Answer
verified

A 2.00-kg solid sphere of radius 5.00 cm rolls down a 20.0° inclined plane starting from rest. (a) What is the magnitude of the acceleration of the center of mass of the sphere? (b) How far down the plane does it roll without slipping in 1.00 s?

Correct Answer
verified

Exam 10: Rotational Motion

A horizontal 2.00-m long, 5.00-kg uniform beam that lies along the east-west direction is acted on by two forces. At the east end of the beam, a 200-N forces pushes downward. At the west end of the beam, a 200-N force pushed upward. What is the angular acceleration of the beam?

Correct AnswerverifiedShow Answer

How long does it take for a rotating object to speed up from 15.0 to 33.3 rad/s if it has an angular acceleration of 3.45 rad/s2?

Correct AnswerverifiedShow Answer

A car is traveling at 20.0 m/s on tires with a diameter of 70.0 cm. The car slows to a rest after traveling 300.0 m. If the tires rolled without slipping, what was the magnitude of the average angular acceleration of the tires during the time the car slowed to a rest?

Correct AnswerverifiedShow Answer

A hoop is rolling without slipping along a horizontal surface with a speed of 4.50 m/s when it starts down a ramp that makes an angle of 25.0° with the horizontal. What is the speed of the hoop after it has rolled 3.00 m down the ramp?

Correct AnswerverifiedShow Answer

A wrench is acting on a nut. The length of the wrench lies directly to the east of the nut. A force 150 N acts on the wrench at a position 15.0 cm from the center of the nut in a direction 30.0° north of east. What is the torque about the center of the nut?

Correct AnswerverifiedShow Answer

A child is riding a merry-go-round which completes one revolution every 8.36 s. The child is standing 4.65 m from the center of the merry-go-round. (a) What is the tangential speed of the child? (b) What is the magnitude of the centripetal acceleration of the child?

Correct Answerverified(a) 3.49 m...View AnswerShow Answer

Correct AnswerverifiedShow Answer

Consider a solid sphere of radius R and mass M rolling without slipping. Which form of kinetic energy is larger, translational or rotational?

Correct AnswerverifiedShow Answer

A pulley has an initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2. Through what angle does the pulley turn in 5.26 s?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Two children are riding on a merry-go-round. Child A is at a greater distance from the axis of rotation than child B. Which child has the larger linear displacement?

Correct AnswerverifiedShow Answer

The parallel-axis theorem can be applied only to flat objects.

Correct AnswerverifiedShow Answer

A thin cylindrical shell is released from rest and rolls without slipping down an inclined plane that makes an angle of 30° with the horizontal. How long does it take it to travel 3.1 m?

Correct AnswerverifiedShow Answer

Consider a rigid body that is rotating. Which of the following is an accurate statement?

Correct AnswerverifiedShow Answer

FIGURE 10-2 -A ball is released from rest on a no-slip surface, as shown. After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface as shown in Fig. 10-2. When the ball reaches its maximum height on the frictionless surface, it is

Correct AnswerverifiedShow Answer

Determine the moment of inertia of an equilateral triangular plate of mass M and sides L about an axis perpendicular to the plate that passes through one vertex of the triangle.

Correct AnswerverifiedShow Answer

Correct Answerverified(a) 90.0 k...View AnswerShow Answer

A boy and a girl are riding on a merry-go-round that is turning. The boy is twice as far as the girl from the merry-go-round's center. If the boy and girl are of equal mass, which statement is true about the boy's moment of inertia with respect to the axis of rotation?

Correct AnswerverifiedShow Answer

A 2.00-kg solid sphere of radius 5.00 cm rolls down a 20.0° inclined plane starting from rest. (a) What is the magnitude of the acceleration of the center of mass of the sphere? (b) How far down the plane does it roll without slipping in 1.00 s?

Correct AnswerverifiedShow Answer

Correct Answer
verified

How long does it take for a rotating object to speed up from 15.0 to 33.3 rad/s if it has an angular acceleration of 3.45 rad/s²?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
(a) 3.49 m...
View Answer

Correct Answer
verified

Correct Answer
verified

A pulley has an initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s². Through what angle does the pulley turn in 5.26 s?

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified

Correct Answer
verified
(a) 90.0 k...
View Answer

Correct Answer
verified

Correct Answer
verified