Categories > statics > Friction > The end of a heavy uniform rod AB can slide along a rough horizontal rod AC to which it is attached by a ring. B and C are joined by a string. If $\angle ABC$ be a right angle, when the rod is on the point of sliding,$\mu $ the coefficient of friction and $\alpha $ the angle between AB and the vertical, then

statics

Question: The end of a heavy uniform rod AB can slide along a rough horizontal rod AC to which it is attached by a ring. B and C are joined by a string. If $\angle ABC$ be a right angle, when the rod is on the point of sliding,$\mu $ the coefficient of friction and $\alpha $ the angle between AB and the vertical, then


1) $\mu =\frac{2\tan \alpha }{(2+{{\tan }^{2}}\alpha )}$
2) $\mu =\frac{\tan \alpha }{(2+{{\tan }^{2}}\alpha )}$
3) $\mu =\frac{2\cot \alpha }{(1+{{\cot }^{2}}\alpha )}$
4) $\mu =\frac{\cot \alpha }{(2+{{\cot }^{2}}\alpha )}$
Solution: Explanation: No Explanation
Friction

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