Exam 11: Rolling, Torque, and Angular Momentum

A 5.0-kg ball rolls without sliding from rest down an inclined plane.A 4.0-kg block, mounted on roller bearings totaling 100 g, rolls from rest down the same plane.At the bottom, the block has:

A wheel, with rotational inertia I, mounted on a vertical shaft with negligible rotational inertia, is rotating with angular speed _0.A nonrotating 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 simple gyroscope consists of a wheel (M = 2.0 kg, R = 0.75 m, I = 1.1 kg∙m²)rotating on a horizontal shaft.If the shaft is balanced on a pivot 0.50 m from the wheel, and the wheel rotates at 500 rev/min, what is the precession frequency of the wheel?

A particle moves along the x axis.In order to calculate the angular momentum of the particle, you need to know:

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?

A hoop (I = MR²)of mass 2.0 kg and radius 0.50 m is rolling at a center-of-mass speed of 15 m/s.An external force does 750 J of work on the hoop.What is the new speed of the center of mass of the hoop?

When the speed of a rear-drive car is increasing on a horizontal road the direction of the frictional force on the tires is: