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dzidziaud
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Homework Statement
) Two uniform, solid cylinders of radius R and total mass M are connected along their common axis by a short, massless rod. They are attached to a spring with force constant k using a frictionless ring around the axle. If the spring is pulled out and released, the cylinders will roll without slipping as they oscillate. Show that the period of their oscillation is T = 2∏√(3M/2k).
Homework Equations
F=-kx
T=2∏sqrt(m/k)
solid cylinder: I=1/2MR^2
The Attempt at a Solution
Messing around with the equations has gotten me nowhere so far; I've only achieved redundancy by accidentally deriving other equations. The only way I see of making the moment of inertia relevant is by using torque, but trying to use that just has me going in circles (unintentional pun, haha). I'm stuck. Any advice would be appreciated.