A lawn roller in the form of a thin-walled, hollow cylinder with mass M is pulled horizontally with a constant horizontal force F applied by a handle attached to the axle. If it rolls without slipping, find the acceleration and the friction force.

Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk). (Give your answers to at least 2 decimal places.) (a) What torque (in N · m) is exerted? (Enter the magnitude.) 50.74 N. m (b) What is the angular acceleration (in rad/s?) assuming negligible opposing friction? (Enter the magnitude.) 15.55 rad/s? (c) What is the angular acceleration (in rad/s?) if there is an opposing frictional force of 22.6 N exerted 1.75 cm from the axis? (Enter the magnitude.) 15.44 ]× rad/s²

An 80 cm long thin rod whose axis of rotation is in the center has a mass of 0.142 kg. A 2.5 N force is applied at one end perpendicularly, while a second 1.5 N force is applied 10 cm from the opposite end. Both forces are applied in the same direction. (a) Find the angular acceleration. (b) Determine the force needed for the rod to be in equilibrium, if the third force is applied at a 300 angle halfway between the 2.5 N and the axis of rotation. (72.6; -5.5)

A grindstone has a moment of inertia of 6 x 10-3 kg m2. When a constant torque is applied, the flywheel reaches an angular velocity of 1200 rev/min in 15 s. Assuming it started from rest, find the angular acceleration. Find the unbalanced torque applied. Find the angle turned through in the 15 s. Find the work W done on the flywheel by the torque.

A torque of 0.97 N*m is applied to a bicycle wheel of radius 35 cm and mass 0.75 kg. Treating the wheel as a hoop, find its angular acceleration.

Two wheels have the same mass and radius of 4.9kg and 0.45 m, respectively. One has (a) the shape of a hoop and the other (b) the shape of a solid disk. The wheels start from rest and have a constant angular acceleration with respect to a rotational axis that is perpendicular to the plane of the wheel at its center. Each turns through an angle of 13 rad in 8.4 s. Find the net external torque that acts on each wheel.

A uniform disk of radius 0.507 m and unknown mass is constrained to rotate about a perpendicular axis through its center. A ring with the same mass as the disk is attached around the disk's rim. A tangential force of 0.243 N applied at the rim causes an angular acceleration of 0.117 rad/s^2. Find the mass of the disk.

A force of 200 N is applied to a wrench at 80° to the handle, 10 cm from the centre of the bolt. Determine the magnitude of the torque. What direction does the torque vector point?

A bicycle has wheels with a diameter of 0.67 m. It accelerates uniformly and the rate of rotation of its wheels increases from 201.0 rpm to 250.0 rpm in a time of 19.9 s. Find the linear acceleration of the bicycle.

A potter’s wheel moves uniformly from rest to an angular speed of 1.00 rev/ s in 30.0 s.  Find its angular acceleration in radians per second per second.