To loosen a stuck nut, an inexperience mechanic pulls at an angle of 45⁰ on the end of a 50 cm wrench with a force of 200N. Determine the magnitude of the torque on the nut. If the nut suddenly turns freely, find the angular acceleration of the wrench? ( the wrench has a mass of 3kg, and its shape is that of a thin rod)

A solid cylinder of mass 4.6 kg and radius 0.6 m starts from rest at the top of a ramp, inclined 21°, and rolls to the bottom without slipping. (For a cylinder I = 0.5MR2) The upper end of the ramp is 7 m higher than the lower end. Find the linear velocity of the cylinder when it reaches the bottom of the ramp? (g = 9.8 m/s2)

The 22-cm-diameter disk in figure can rotate on an axle through its center.What is the net torque about the axle?

You are designing a lathe motor, part of which consists of a uniform cylinder whose mass is 140 kg and whose radius is 0.50 m that is mounted so that it turns without friction on its axis, which is fixed. The cylinder is driven by a belt that wraps around its perimeter and exerts a constant torque. At t = 0, the cylinder's anqular velocity is zero. At t = 25 s, its angular speed is 550 rev/min. (a) What is the magnitude of the cylinder's angular momentum at t = 25 s? |kg-m2/s (b) At what rate is the angular momentum increasing? kg-m2/s2 (c) What is the magnitude of the torque acting on the cylinder? N-m (d) What is the magnitude of the frictional force acting on the rim of the cylinder? eBook