A 2-kg disk has a radius of 18 cm and rotates with an angular acceleration of 12 rad/s2 about an axis through its center and perpendicular to the plane of the disk. Determine the tangential force at the rim of the disk.

What is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 76.0 rev/min in 5.00 s? One second after the bug starts from rest, what is the magnitude of its tangential acceleration? One second after the bug starts from rest, what is the magnitude of its centripetal acceleration?

When you hold an ball by only your forearm, the main lifting muscle in your arm is the biceps. Suppose the mass of a forearm with hand is 1.80 kg. The biceps is connected to the forearm a distance of 2.50 cm from the elbow, and it holds a 44.5 N (about 10 lbs) ball at the end of the forearm at distance of 35.0 cm from the elbow. What is the magnitude of the torque about the elbow by the ball, in N·m? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

A 10 kg cylindrical barrel with a radius of 0.5 m rotates about a vertical axis of rotation without displacing with an initial angular velocity of 4 rad/s. The rotational inertia of the cylindrical barrel is 0.3mr2 and rain begins to fill the barrel with water as its rotating. If the barrel accumulates 4 kg of water, calculate the new angular velocity of the barrel.

Determine the net torque on the 3.5-m-long uniform beam shown in the figure. All forces are shown. Calculate about point C, the CM. Take counterclockwise torques to be positive. Calculate about point P at one end. Take counterclockwise torques to be positive.

Starting from rest, a bicyclist pedals a bicycle such that the angular acceleration of the wheels is a constant 1.40 rad/s2. The bicycle wheels are 32.0 cm in radius. (a)What is the magnitude of the bicycle's linear acceleration (in m/s2)?   (b) What is the angular speed of the wheels (in rad/s) when the linear speed of the bicyclist reaches 10.4 m/s?   (c) How many radians have the wheels turned through in that time?   (d) How far (in m) has the bicycle traveled in that time?