A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg weight by a thin, light wire that passes over a frictionless pulley (?Fig. E10.16?). The pulley has the shape of a uniform solid disk of mass 2.00 kg and diameter 0.500 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of the box, and (c) the horizontal and vertical components of the force that the axle exerts on the pulley.

Solution 17E Step 1: Given data: Mass of the pulley m = 2.0 kg Weight of the pulley w = mg = (2.0 kg)(9.8 m/s ) = 18 N Radius r = d/2 = 0.500 m/2 = 0.25 m Mass of the box M = 12.0 kg Mass of attached weight m = 5.0 kg a 2 2 2 Moment of inertia I = 1/2 mr = 1/2(2.0 kg)(0.25 m) = 0.0625 kg/m Acceleration of box=a