A merry-go-round has a mass of and radius of . How much net work is required to accelerate it from rest to a ration rate of revolution per seconds? Assume it is a solid cylinder.

A potter’s wheel is rotating around a vertical axis through its center a frequency of . The wheel can be considered a uniform disk of mass and diameter . The potter then throws a chunk of clay, approximately shaped as a flat disk of radius , onto the center of the wheel. What is the angular velocity of the wheel after the clay sticks to it?

Determine the moment of inertia of a sphere of radius when the axis of rotation is through its center.

Several objects roll without slipping down an income of vertical height H, all starting from rest. The objects are a battery (solid cylinder), a frictionless box, a wedding band (hoop), an empty soup can, and a marble (solid sphere). In what order do they reach the bottom of the incline?

What is the angular momentum of a ball revolving on the end of a thin string in a circle of radius at an angular speed of ?

Two spheres have the same radius and equal mass. One sphere is solid, and the other is hollow and made of a denser material. Which one has the bigger moment of inertia about an axis through the center?

An automobile engine slows down from to in . Calculate its angular acceleration.

To get a flat, uniform cylindrical spacecraft spinning at the correct speed, astronauts fire four tangential rockets equidistance around the edge of the cylindrical spacecraft. Suppose the spacecraft has a mass of and a radius of , and the rockets each add a mass of . What is the steady force required of each rocket if the satellite is to reach in .

An ice skater performs a fast spin by pulling in her outstretched arms close to her body. What happens to her angular momentum about the axis of rotation?