Exam 13: Dynamics of a Rigid Body

A wheel of radius R is rolling without slipping down an inclined surface. The frictional force exerted by the surface on the wheel at the point where the rim is in contact with the surface is

A baseball pitcher rotates his arm around his shoulder joint at 80.0 rad/s. Assuming the length of his arm is 0.60 m, the speed of the ball when it is still in his hand is

A girl carries a box that contains a gyroscope (a flywheel suspended in gimbals) that spins around the east-west axis. The girl is walking in the same direction as the rotational axis of the gyroscope, then suddenly turns to the left. The front part of the box

All of the following quantities have the same dimensions except

A skater is spinning with folded arms, and later she extends her arms away from her body. If frictional forces are neglected, the quantity that does not change during this event is

A solid sphere of radius R and mass m starts from rest at a height h and rolls down an incline without slipping. The ratio of translational to rotational kinetic energy at the bottom of the incline is

A wheel is rolling (without slipping) on the ground. Its axle travels at 30 m/s with respect to the ground. The tangential speed of a point on the rim with respect to the axle is

All of the following angular quantities are vectors except

A thin, 1.00-m-long rod of mass 1.00 kg has a solid sphere of radius 0.25 m and mass 0.50 kg attached to one end. The arrangement is originally vertical and stationary, with the sphere at the top. The system is free to pivot about the bottom end of the rod after being given a slight nudge. The speed of the sphere after the system rotates through 90^o is

A centrifuge in a medical laboratory rotates at a rotational speed of 3600 rev/min. When turned off, it rotates 20.0 times at a constant angular acceleration before coming to rest. The angular acceleration of the centrifuge is

A hollow sphere and a solid sphere each made from the same material and having equal maximum radius are rolled from rest (without slipping) the same distance down an inclined plane. At the bottom of the incline, the kinetic energy of the hollow sphere is