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In figure below, a uniform bar of length l m is supported at its ends and loaded by a weight W kgf at its middle. In equilibrium, find the reactions R1 and R2 at the ends.

In figure below, a uniform bar of length l m is supported at its ends and loaded by a weight W kgf at its middle. In equilibrium, find the reactions R1 and R2 at the ends. Force, Concise Physics Class 10 Solutions.

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Answer

As we know, the principle of moments states that

Anticlockwise moment = Clockwise moment

R1 + R2 = W

Given, the system is in equilibrium so

R1×l2=R2×l2R{1}\times\dfrac{l}{2} = R{2}\times\dfrac{l}{2}

Since, R1 = R2 and 2R1 = W

Therefore, R1 = W/2 = R2

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