Figure P11.18

A cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:

A counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 7.00 cm and mass M = 1.50 kg. The spokes have negligible mass. M m (a) What is the net torque on the system about the axle of the pulley? magnitude 2.058 x N.m direction to the right along the axis of rotation (b) When the counterweight has a speed v, the pulley has an angular speed = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (0.357 kg. m)v (c) Find the magnitude of the acceleration of the counterweight. 5.76 x m/s²

A 15.2 m long crane makes an angle of 25.0° with the horizontal. A 482 kg wrecking ball hangs vertically from the end of the crane. What torque does it cause about the base of the crane? Equations: Fg = mg     t = Fr sinq

A uniform disk of radius 0.491 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 0.229 N applied at the rim causes an angular acceleration of 0.115 rad/s². Find the mass of the disk. mass of disk: 3.08 kg

In the figure, block 1 has mass m1 = 0.460 kg, block 2 has mass m2 = 0.500 kg, and the pulley, which is mounted on a horizontal axle with negligible friction, has radius R = 0.0500 m. Tension T1, the tension force on block 1, is 4.54N. Tension T2, the tension force on block 2, is 4.87N. What is the net torque acting on the pulley? Please note that I know that the answer is to be that taunet = -T1R + T2R Why is the torque associated with T1 negative when it produces a counterclockwise rotation, and the torque associated with T2 positive when it produces a clockwise rotation? I thought that if the direction of rotation was counterclockwise, then the torque is positive, and if the direction was clockwise, then the torque is negative.

An object has a moment of inertia of 5.73 kg m², and a torque of 18.7 N · m is applied on it. What is the angular acceleration of the object in unit of rad/s?

A circular disk with a radius of 0.38 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. F1 = 3.6 N applied at the outer edge of the disc. F2 = 4.3 N applied at a distance of 0.28 from the center of the disc. What is the net torque on the disc?

As shown below, a 32 kg bar that is 4.1 m long is set up to rotate about its center (the yellow circle). Force B is acting 68 cm from the left end of the bar. A = 34 NB = 45 NC = 32 N?A = 56°?B = 24° Find the individual torque, the net torque, and the direction the bar will rotate. ?A = ?B = ?C = ?net =

A bar on a hinge starts from rest and rotates with an angular acceleration a = 10 + 6t, where a is in rad/s2 and t is in seconds. Determine the angle in radians through which the bar turns in the first 4.00 s.