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Rigid Body Dynamics: Pulley and Blocks, Angular Acceleration

I need a lot of help with these problems. Thanks


Solution Summary

1. Two blocks attached by a string which passes through cylindrical pulley with mass(Atwood's machine). Related quantities are calculated in four parts. -----
2A. A flat plate is raised by two unequal forces at its ends, the acceleration of different points, angular acceleration and moment of inertia is calculated. -------
2B. A block is pushed on a rough incline, force required is calculated. --------
3. A piston is moved by a wheel and a shaft (crank and shaft), related quantities are calculated in six parts. --------
4. A compound pendulum made up of a rod and a disk is released as given. The related quantities are calculated in six parts.