SHM and Rotation Physics Quiz

A wheel completes 100 revolutions around a central axis point. If the wheel started at rest and it takes 12 s to complete this distance, what is the angular acceleration of the wheel?

• 8.73 rad/s²

• 104.72 rad/s²

• 1.39 rad/s²

• 16.67 rad/s²

If the torque required to loosen a nut on the wheel of a car has a magnitude of 78.0 N• m with a perpendicularly applied force , what minimum force must be exerted by a mechanic at the end of a 45.0 cm wrench to loosen the nut? 3 sig figs

A child kicks a ball which rolls across a field with a velocity of 5 m/s. You may assume the ball doesn’t slip, and treat it as a hollow sphere of mass 0.43 kg and radius 0.11 meter.

What is the ball’s rotational kinetic energy in joules?

• 3.87

• 7.74

• 0.085

• 0.0062

Which equation defines rotational kinetic energy?

• 
• 
• 
• 

The moment of inertia:

• is synonymous with mass

• does not depend on where the mass is located

• resistance to a change in angular velocity

• more resistance to change = less inertia

Three homogeneous rigid bodies -- a solid sphere, a solid cylinder, and a hollow cylinder -- are placed at the top of an incline. If all are released from rest at the same elevation and roll without slipping, which reaches the bottom first?

• The solid sphere.

• The solid cylinder.

• The hollow cylinder.

• They will all arrive at the same time.

According to the Law of Conservation of Angular Momentum, if I (momentum of inertia) increases, what will happen to ω?

• Decrease

• Stay the same

• Increase

Two children are sitting on a see-saw, as shown. Calculate the distance the 500-N child should sit from the fulcrum in the center (pivot) of the lever to balance the see-saw.

• 1.8 m

• 3m

• 5 m

• 1 m

A simple pendulum has a period of 2 s for small amplitude oscillations.

The length of the pendulum is most nearly

• 1/6 m

• 1/4 m

• 1/2 m

• 1 m

• 2 m

A 0. l -kilogram block is attached to an initially unstretched spring of force constant k = 40 newtons per meter as shown above. The block is released from rest at time t = 0.

At what time after release will the block first return to its initial position?