Question 1

A force   = 4.2 N + 3.7 N + 1.2 N acts on a particle located at x = 3.3 m.What is the torque on the particle around the origin?

Accepted Answer

A) 14 N∙m 
B) -4.0 N∙m + 12 N∙m 
C) 12 N∙m 
D) 14 N∙m - 4.0 N∙m + 12 N∙m 
E) cannot be calculated without knowing the mass of the particle 
A) 14 N∙m 
B) -4.0 N∙m + 12 N∙m 
C) 12 N∙m 
D) 14 N∙m - 4.0 N∙m + 12 N∙m 
E) cannot be calculated without knowing the mass of the particle

Question 2

A pulley with radius R and rotational inertia I is free to rotate on a horizontal fixed axis through its center.A string passes over the pulley.A block of mass m1 is attached to one end and a block of mass m2, is attached to the other.At one time the block with mass m1 is moving downward with speed v.If the string does not slip on the pulley, the magnitude of the total angular momentum, about the pulley center, of the blocks and pulley, considered as a system, is given by:

Accepted Answer

A) (m1 - m2)vR + Iv/R 
B) (m1 + m2)vR + Iv/R 
C) (m1 - m2)vR - Iv/R 
D) (m1 + m2)vR - Iv/R 
E) none of the above 
A) (m1 - m2)vR + Iv/R 
B) (m1 + m2)vR + Iv/R 
C) (m1 - m2)vR - Iv/R 
D) (m1 + m2)vR - Iv/R 
E) none of the above

Question 3

A 2.0-kg block travels around a 0.50-m radius circle with 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 component in the xy plane of the angular momentum around the origin has magnitude:

Accepted Answer

A) 0 kg∙m2/s 
B) 6.0 kg∙m2/s 
C) 9.0 kg∙m2/s 
D) 11 kg∙m2/s 
E) 14 kg∙m2/s 
A) 0 kg∙m2/s 
B) 6.0 kg∙m2/s 
C) 9.0 kg∙m2/s 
D) 11 kg∙m2/s 
E) 14 kg∙m2/s

Question 4

A thin-walled hollow tube rolls without sliding along the floor.The ratio of its translational kinetic energy to its rotational kinetic energy (about an axis through its center of mass)is:

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 1/2 
E) 1/3 
A) 1 
B) 2 
C) 3 
D) 1/2 
E) 1/3

Question 5

A solid sphere starts from rest and rolls down a slope that is 5.1 m long.If its speed at the bottom of the slope is 4.3 m/s, what is the angle of the slope?

Accepted Answer

A) 10° 
B) 15° 
C) 20° 
D) 30° 
E) cannot be calculated without knowing the mass and radius of the sphere 
A) 10° 
B) 15° 
C) 20° 
D) 30° 
E) cannot be calculated without knowing the mass and radius of the sphere

Exam 11: Rolling, Torque, and Angular Momentum

A force = 4.2 N + 3.7 N + 1.2 N acts on a particle located at x = 3.3 m.What is the torque on the particle around the origin?

A 2.0-kg block travels around a 0.50-m radius circle with 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 component in the xy plane of the angular momentum around the origin has magnitude:

A thin-walled hollow tube rolls without sliding along the floor.The ratio of its translational kinetic energy to its rotational kinetic energy (about an axis through its center of mass)is:

A solid sphere starts from rest and rolls down a slope that is 5.1 m long.If its speed at the bottom of the slope is 4.3 m/s, what is the angle of the slope?

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