- #1
lockedup
- 70
- 0
Homework Statement
A mass [tex]m_{1}[/tex] is hanging from a light cord which is strung over a pulley of moment of inertia, I, and radius [tex]R_{0}[/tex] and connected to a mass [tex]m_{2}[/tex] which is sliding on a rough horizontal surface with coefficient of friction [tex]\mu_{k}[/tex].
a) What is the acceleration of the system?
b) What are the tensions in each part of the cord?
All help is appreciated! :)
Homework Equations
[tex]\Sigma[/tex]F = ma
[tex]\Sigma\tau[/tex] = m[tex]R^{2}\alpha[/tex]
The Attempt at a Solution
I started by trying to sum up all the forces and torques but I don't know where to go from there.
[tex]\Sigma F_{x} = T - \mu m_{1}g = (\mu m_{1} + m_{2})g = ma[/tex]
[tex]\Sigma F_{y} = T = m_{2}g[/tex]
[tex]\Sigma \tau = rF_{x} + rF_{y}[/tex]