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Dynamics : Pendulum

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Please see attachment for full problem description with fig.

The simple 2 kg pendulum is released from rest in the horizontal position. As it reaches the bottom (vertical) position the cord wraps around the smooth fixed pin at A and continues in the smaller arc in the vertical plane. Calculate the magnitude of the force R supported by the pin at A when the pendulum passes the 30 degree position.

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Solution Summary

The expert examines pendulum horizontal positions in descriptions. The magnitudes of force pins are determined.

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Please refer attachment.

At the top position the pendulum bob has only potential energy equal to mgL (with respect to its lowest position)

At the lowest position whole of the potential energy has been converted into kinetic energy. Hence,
KE at the lowest position = mgL ......(1)

As the bob rises on the other side, moving in a circular path of radius L/2, its KE is gradually converted into PE. PE for any ...

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