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Mechanics: Statics

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(Please see the attachment for the figure)

A uniform rod AB of length 2a and weight W is inclined at 30 degrees to the horizontal with its lower end A on a rough horizontal ground, the angle of friction being 30 degrees. The rod rests in contact with a smooth peg C (AC < AB).

Calculate the height of the peg above the ground and the reaction at the peg if the rod is in limiting equilibrium.

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This solution provides a step-by-step explanation of how to solve the given classical mechanics problem.

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Forces acting on the system are shown in the fig.. i) Weight W acts vertically down at the mid point of the rod, ii) frictional force f from the ground acts horizontally at the lower end of the rod, iii) Normal reaction R of the ground acts vertically upwards, iv) reaction N of ...

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