Dynamics Problem - Torque and Angular Acceleration
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A slender rod of mass Mr has a disk of mass Mo fastened to it at its end. It is pinned at 0 - a "frictionless" pin. The circular frequency in rad/s of the system for small oscillations is what?
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Solution Summary
This solution is provided in 150 words. It uses torque, angular acceleration and simple harmonic motion to find the angular frequency squared.
Solution Preview
If the system is displaced by small angle 'theta' from the vertical, the torque about the fastened end,
Mr*g*sin(theta)*(l/2) + Mo*g*sin(theta)*l = - (Ir+Mr*(l/2)^2 + Io + ...
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