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A uniform wooden bar of length l and mas...

A uniform wooden bar of length l and mass m hinged on a vertical wall of a containing water, at one end.

`3//5th` part of the bar is submerged in water. Find the ratio of densities of the liquid and the bar.

Text Solution

Verified by Experts

Taking the moment of W = mg and `F_(b) = V rho g ` about O ,
we obtain `(V rhog) ( 7/10 l sin theta ) = (5/3 V ) (sigma ) g l/2 sin theta `
` rho/(sigma) = 5/6 xx10/7 = 25/21 `
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