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Q.

A isosceles right triangular plate ABC of mass m is free to rotate about a fixed axis passing through A in a vertical plane passing through A. it is supported by a string such that side AB is horizontal. Then the ratio of weight of the plate to the reaction force at A is:

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answer is 3.

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Detailed Solution

$T_{A} = 0 \Rightarrow m g \cdot \frac{2 l}{3} = T \cdot l$

$T = \frac{2}{3} m g$

$T + R_{A} = m g$

$R_{A} = \frac{m g}{3}$

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