Deriving expression for equivalent spring constant


Assignment:

Gear A in Problem below is subjected to the torque MA = Mocoswt. Derive an expression for the angular motion of gear B.

The system shown in Fig. consists of two gears A and B mounted on uniform circular shafts of equal stiffness GJ/L; the gears are capable of rolling on each other without slip. Derive an expression for the equivalent spring constant of the system for the radii ratio RA/RB = n.

1625_torque.JPG

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Physics: Deriving expression for equivalent spring constant
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