- #1

Californiarol

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## Homework Statement

I am studying for a final exam and I do not know how to solve this problem:

A 10 kg mass hangs by a rope of negligible mass. The upper end of the rope is attached to and is wound around the other edge of a solid uniform wheel which is free to rotate on a horizontal frictionless axle. (So its basically a pulley (a wheel with a single mass hanging down one side)). The 10kg mass is released from rest and accelerates 4.9m/s^2

a) What are all the forces acting on this system?

b) What is the tension of the rope as the 10kg mass falls?

c) Calculate the mass of the wheel.

**2. The attempt at a solution**

a) For this part, I put the obvious ones, ie: weight, and tension. Are there any others, especially with regard to the wheel?

b) For the y-component, we have T-W = -4.9m/s^2 and solving for T gives 49N. However, this seems kind of trivial and the question is worth 5 points so I'm not certain this is right.

c) I have no idea about this part. I know angular acceleration = 4.9/R and that's about as far as I got on this part.

Any help would be appreciated!