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Q.

In figure, one end of a uniform beam weighs $222 N$ is attached to a wall with a hinge. The other end is supported by a wire. The tension in the wire is :

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a

$111 N$

b

$192 N$

c

$222 N$

d

none of these

answer is B.

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Detailed Solution

About hinge, $Σ τ = 0$

or $222 \times \frac{l}{2} \sin 60 ° = T \sin 30 ° \times l$

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$T = \frac{222 \sqrt{3}}{2} = 192 N$

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In figure, one end of a uniform beam weighs 222 N is attached to a wall with a hinge. The other end is supported by a wire. The tension in the wire is :