Interactive solution 9.37 presents a method for modeling this problem. multiple-concept example 10 offers useful background for problems like this one. a cylinder is rotating about an axis that passes through the center of each circular end piece. the cylinder has a radius of 0.130 m, an angular speed of 78.0 rad/s, and a moment of inertia of 1.25 kg·m2. a brake shoe presses against the surface of the cylinder and applies a tangential frictional force to it. the frictional force reduces the angular speed of the cylinder by a factor of 6 during a time of 3.00 s. (a) find the magnitude of the angular deceleration of the cylinder. (b) find the magnitude of the force of friction applied by the brake shoe.

21.67 rad/s²

208.36538 N

Explanation:

= Final angular velocity =

= Initial angular velocity = 78 rad/s

= Angular acceleration

= Angle of rotation

t = Time taken

r = Radius = 0.13

I = Moment of inertia = 1.25 kgm²

From equation of rotational motion

The magnitude of the angular deceleration of the cylinder is 21.67 rad/s²

Torque is given by

Frictional force is given by

The magnitude of the force of friction applied by the brake shoe is 208.36538 N

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.