A cylinder of radius R = 6.0 cm is on a rough horizontal surface. The coefficient of kinetic friction between the cylinder and the surface is 0.30 and the rotational inertia for rotation about the axis is given by MR2/2, where M is its mass. Initially it is not rotating but its center of mass has a speed of 7.0 m/s. After 2.0 s the speed of its center of mass and its angular velocity about its center of mass, respectively, are:

A) 1.1 m/s, 0 B) 1.1 m/s, 19 rad/s C) 1.1 m/s, 98 rad/s D) 1.1 m/s, 200 rad/s E) 5.9 m/s, 98 rad/s A) 1.1 m/s, 0 B) 1.1 m/s, 19 rad/s C) 1.1 m/s, 98 rad/s D) 1.1 m/s, 200 rad/s E) 5.9 m/s, 98 rad/s

The unit kg.m2/s can be used for:

A) angular momentum B) rotational kinetic energy C) rotational inertia D) torque E) power A) angular momentum B) rotational kinetic energy C) rotational inertia D) torque E) power

Exam 11: Rolling, Torque, and Angular Momentum

A cylinder of radius R = 6.0 cm is on a rough horizontal surface. The coefficient of kinetic friction between the cylinder and the surface is 0.30 and the rotational inertia for rotation about the axis is given by MR²/2, where M is its mass. Initially it is not rotating but its center of mass has a speed of 7.0 m/s. After 2.0 s the speed of its center of mass and its angular velocity about its center of mass, respectively, are:

(Multiple Choice)

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Question 21

A 2.0-kg block starts from rest on the positive x axis 3.0 m from the origin and thereafter has an acceleration given by in m/s². At the end of 2.0 s its angular momentum about the origin is:

(Multiple Choice)

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Question 22

A man, with his arms at his sides, is spinning on a light frictionless turntable. When he extends his arms:

(Multiple Choice)

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Question 23

The angular momentum vector of Earth, due to its daily rotation, is directed:

(Multiple Choice)

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Question 24

A block with mass M, on the end of a string, moves in a circle on a horizontal frictionless table as shown. As the string is slowly pulled through a small hole in the table:

(Multiple Choice)

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Question 25

A 2.0-kg stone is tied to a 0.50-m long string and swung around a circle at a constant angular velocity of 12 rad/s. The net torque on the stone about the center of the circle is:

(Multiple Choice)

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Question 26

A wheel,with rotational inertia I, mounted on a vertical shaft with negligible ratational inertia, is rotating with angular speed $\omega$ _0.A nonrotation wheel with rotational inertia 2I is suddenly dropped onto the same shaft as shown.. The resultant combination of the two wheels and shaft will rotate at: $A wheel,with rotational inertia I, mounted on a vertical shaft with negligible ratational inertia, is rotating with angular speed \omega <sub>0. </sub>A nonrotation wheel with rotational inertia 2I is suddenly dropped onto the same shaft as shown.. The resultant combination of the two wheels and shaft will rotate at:$

(Multiple Choice)

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Question 27

The unit kg.m²/s can be used for:

(Multiple Choice)

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Question 28

A wheel rolls without slipping along a horizontal road as shown. The velocity of the center of the wheel is represented by $\rightarrow$ . Point P is painted on the rim of the wheel. The instantaneous velocity of point P is: $A wheel rolls without slipping along a horizontal road as shown. The velocity of the center of the wheel is represented by \rightarrow . Point P is painted on the rim of the wheel. The instantaneous velocity of point P is:$

(Multiple Choice)

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Question 29

The coefficient of static friction between a certain cylinder and a horizontal floor is 0.40. If the rotational inertia of the cylinder about its symmetry axis is given by I = (1/2)MR², then the maximum acceleration the cylinder can have without sliding is:

(Multiple Choice)

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Question 30

As a 2.0-kg block travels around a 0.50-m radius circle it has an angular speed of 12 rad/s. The circle is parallel to the xy plane and is centered on the z axis, 0.75 m from the origin. The magnitude of its angular momentum around the origin is:

(Multiple Choice)

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Question 31

A playground merry-go-round has a radius R and a rotational inertia I. When the merry-go-round is at rest, a child with mass m runs with speed v along a line tangent to the rim and jumps on. The angular velocity of the merry-go-round is then:

(Multiple Choice)

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Question 32

A playground merry-go-round has a radius of 3.0 m and a rotational inertia of 600 kg .m². It is initially spinning at 0.80 rad/s when a 20-kg child crawls from the center to the rim. When the child reaches the rim the angular velocity of the merry-go-round is:

(Multiple Choice)

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Question 33

A solid wheel with mass M, radius R, and rotational inertia MR²/2, rolls without sliding on a horizontial surface. A horizontal force F is applied to the axle and the center of mass has an acceleration a. The magnitudes of the applied force F and the frictional force f of the surface, respectively, are:

(Multiple Choice)

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Question 34

A wheel of radius 0.5 m rolls without sliding on a horizontal surface as shown. Starting from rest, the wheel moves with constant angular acceleration 6 rad/s². The distance in traveled by the center of the wheel from t = 0 to t = 3 s is:

(Multiple Choice)

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Question 35

A particle, held by a string whose other end is attached to a fixed point C, moves in a circle on a horizontal frictionless surface. If the string is cut, the angular momentum of the particle about the point C:

(Multiple Choice)

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Question 36

Two objects are moving in the x,,y plane as shown. The magnitude of their total angular momentum (about the origin O) is:

(Multiple Choice)

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Question 37

A man, holding a weight in each hand, stands at the center of a horizontal frictionless rotating turntable. The effect of the weights is to double the rotational inertia of the system. As he is rotating, the man opens his hands and drops the two weights. They fall outside the turntable. Then:

(Multiple Choice)

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Question 38

A 15-g paper clip is attached to the rim of a phonograph record with a radius of 30 cm, spinning at 3.5 rad/s. The magnitude of its angular momentum is:

(Multiple Choice)

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Question 39

A 6.0-kg particle moves to the right at 4.0 m/s as shown. The magnitude of its angular momentum about the point O is:

(Multiple Choice)

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Question 40

Showing 21 - 40 of 54

Exam 11: Rolling, Torque, and Angular Momentum

A 2.0-kg block starts from rest on the positive x axis 3.0 m from the origin and thereafter has an acceleration given by in m/s2. At the end of 2.0 s its angular momentum about the origin is:

A man, with his arms at his sides, is spinning on a light frictionless turntable. When he extends his arms:

The angular momentum vector of Earth, due to its daily rotation, is directed:

A block with mass M, on the end of a string, moves in a circle on a horizontal frictionless table as shown. As the string is slowly pulled through a small hole in the table:

A 2.0-kg stone is tied to a 0.50-m long string and swung around a circle at a constant angular velocity of 12 rad/s. The net torque on the stone about the center of the circle is:

The unit kg.m2/s can be used for:

A wheel rolls without slipping along a horizontal road as shown. The velocity of the center of the wheel is represented by →\rightarrow→ . Point P is painted on the rim of the wheel. The instantaneous velocity of point P is:

The coefficient of static friction between a certain cylinder and a horizontal floor is 0.40. If the rotational inertia of the cylinder about its symmetry axis is given by I = (1/2)MR2, then the maximum acceleration the cylinder can have without sliding is:

As a 2.0-kg block travels around a 0.50-m radius circle it has an angular speed of 12 rad/s. The circle is parallel to the xy plane and is centered on the z axis, 0.75 m from the origin. The magnitude of its angular momentum around the origin is:

A playground merry-go-round has a radius R and a rotational inertia I. When the merry-go-round is at rest, a child with mass m runs with speed v along a line tangent to the rim and jumps on. The angular velocity of the merry-go-round is then:

A playground merry-go-round has a radius of 3.0 m and a rotational inertia of 600 kg .m2. It is initially spinning at 0.80 rad/s when a 20-kg child crawls from the center to the rim. When the child reaches the rim the angular velocity of the merry-go-round is:

A wheel of radius 0.5 m rolls without sliding on a horizontal surface as shown. Starting from rest, the wheel moves with constant angular acceleration 6 rad/s2. The distance in traveled by the center of the wheel from t = 0 to t = 3 s is:

A particle, held by a string whose other end is attached to a fixed point C, moves in a circle on a horizontal frictionless surface. If the string is cut, the angular momentum of the particle about the point C:

Two objects are moving in the x,,y plane as shown. The magnitude of their total angular momentum (about the origin O) is:

A man, holding a weight in each hand, stands at the center of a horizontal frictionless rotating turntable. The effect of the weights is to double the rotational inertia of the system. As he is rotating, the man opens his hands and drops the two weights. They fall outside the turntable. Then:

A 15-g paper clip is attached to the rim of a phonograph record with a radius of 30 cm, spinning at 3.5 rad/s. The magnitude of its angular momentum is:

A 6.0-kg particle moves to the right at 4.0 m/s as shown. The magnitude of its angular momentum about the point O is:

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A 2.0-kg block starts from rest on the positive x axis 3.0 m from the origin and thereafter has an acceleration given by in m/s². At the end of 2.0 s its angular momentum about the origin is:

The unit kg.m²/s can be used for:

The coefficient of static friction between a certain cylinder and a horizontal floor is 0.40. If the rotational inertia of the cylinder about its symmetry axis is given by I = (1/2)MR², then the maximum acceleration the cylinder can have without sliding is:

A playground merry-go-round has a radius of 3.0 m and a rotational inertia of 600 kg .m². It is initially spinning at 0.80 rad/s when a 20-kg child crawls from the center to the rim. When the child reaches the rim the angular velocity of the merry-go-round is:

A wheel of radius 0.5 m rolls without sliding on a horizontal surface as shown. Starting from rest, the wheel moves with constant angular acceleration 6 rad/s². The distance in traveled by the center of the wheel from t = 0 to t = 3 s is: