Fapp Fishing line app A constant horizontal force F of magnitude 12.0 N is applied to a uniform solid cylinder, which is initially at rest, by a fishing line wrapped around the cylinder. The mass of the cylinder is 10.0 kg, its radius is 10.0 cm. a) Compute the torque Tapp on the cylinder from the applied force. (1 point) b) Compute the moment of inertia of the cylinder. (1 point) c) Compute the angular acceleration of the cylinder. (1 point) d) What is the rotational displacement 0 of the cylinder after t=5.00 s? (1 point) e) How many meters x of fishing line come off the cylinder in this t=5.00 s? (1 point) f) What is the kinetic energy of the cylinder after t=5.00 s? (1 point)

What three factors affect the torque created by a force relative to a specific pivot point?

A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?

A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular cylinder of mass 1.0 kg with inner radius 20 cm and outer radius 30 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10 rev/s. (a) What is the moment of inertia of the system? (b) What is its rotational kinetic energy?

A system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with respect to each other. The masses and distances to the axis of the point particles are m1=0.1kg , r1=0.2m , m2=0.05kg , r2=0.4m , m3=0.5kg , r3=0.01m . (a) What is the moment of inertia of the system? (b) What is the rotational kinetic energy of the system?

Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23

A diver goes into a somersault during a dive by tucking her limbs. If her rotational kindetic energy is 100 J and her moment of inertia in the tuck is 9.0kgm2 , what is her rotational rate during the somersault?

Explain how you might use the apparatus described in Figure OQ10.7 to determine the moment of inertia of the wheel. Note: If the wheel does not have a uniform mass density, the moment of inertia is not necessarily equal to 12 MR2.

A uniform solid disk and a uniform hoop are placed side by side at the top of an incline of height h. (a) If they are released from rest and roll without slipping, which object reaches the bottom first? (b) Verify your answer by calculating their speeds when they reach the bottom in terms of h.

Answer yes or no to the following questions. (a) Is it possible to calculate the torque acting on a rigid object without specifying an axis of rotation? (b) Is the torque independent of the location of the axis of rotation?