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physicsdude101
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Homework Statement
Consider a massive pulley of mass m and radius r shown in the figure below, with two objects hanging off it having masses m and 2m, respectively. The pulley can be considered as a uniform disk, and the string is massless, does not stretch and does not slip.
By considering conservation of energy, determine the acceleration of the masses.
Homework Equations
$$I=\frac{1}{2}mr^2$$
$$K=\frac{1}{2}mv^2$$
$$K=\frac{1}{2}I\omega^2$$
The Attempt at a Solution
I think the total kinetic energy of the system is $$K=\frac{1}{2}mv^2+\frac{1}{2}(2m)v^2+\frac{1}{2}I\omega^2$$ but I'm not sure how to calculate the total potential energy of the system.
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