- 185

- 4

**1. Homework Statement**

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. The pulley has the shape of a uniform solid disk of mass 2.00kg and diameter 0.500m. After the system is released, find

**(a)**The tension in the wire on both sides of the pulley,

**(b)**the acceleartion of the box, and

**(c)**the horizontal and vertical components of the force that the axle exerts on the pulley.

**2. Homework Equations**

Torque=R (cross) F = I \alpha

Newton's Laws

**3. The Attempt at a Solution**

I started with free body diagrams and writing out equations. For mass 1, the 12 kg box on the table, the only forces acting in the x direction are T

_{1}. On the hanging mass, m

_{2}, the only forces are the weight of the hanging mass and T

_{2}. I tried to figure out the torque about the pulley, using τ=I \alpha. I=.5mr

^{2}and \alpha = a/r, so Torque = .5mr

^{2}*(a/r). However, I don't really know what to do from there. I figure both of the tensions create a torque, but i'm not sure what I need to do from here.

Any help would be greatly appreciated