Thin rod about perpendicular line through one end

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 = 3.00 kg. The spokes have negligible mass. (a) What is the net torque on the system about the axle of the pulley? V N.m to the right along the axis of rotation v magnitude 2.4695 direction (b) When the counterweight has a speed v, the pulley has an angular speed w = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. (3.705 Note that your numerical answer is multiplied by the symbol v in the answer box. kg • m)v (c) Using your result from (b) and 7 = L/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) 6.925 The expression for the angular momentum in part (b) has a factor of v. How do you determine dL/dt, from this expression? m/s2

Starting from rest, a 10.8cm diameter compact disk takes 7.96s to reach its operating rotational speed of 1920.0 rpm (revolutions per minute). Assume that the angular acceleration is constant. The disk's moment of inertia is 3.88E-5kg.m². How much torque is applied to the disk? Submit Answer Tries 0/10 How many revolutions does it make before reaching full speed? (Do not enter a unit.) Submit Answer Tries 0/10

A solid cylinder with mass m, radius R, and rotational inertia I (about its center) is released from rest and rolls down a ramp.  Friction between the bottom of the cylinder and the ramp causes the cylinder to roll without slipping.  The linear acceleration of the cylinder is a.  Which TWO of the equations below are correct for this scenario? The equations are in terms of m, I, R, and a, as well as f (the force of static friction between the cylinder and the ramp) and g.  (You must pick BOTH of them to get this question correct!) f = ma mg sin θ = ma mg sin θ - f = ma f R = I (a/R) mg sin θ - f = I (a/R) R mg sin θ = IaR