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Standard XII

Physics

Pulley

A uniform rod...

Question

A uniform rod AB of weight $W$ is hinged to a fixed point at A. It is held in the horizontal position by as string, one end of which is attached to B . Find in terms of $W$ , the tension in the string :

W

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2 W

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1.5 W

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0.5 W

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Solution

The correct option is D $0.5 W$
Given that the string is tied to the end B and the rod is hinged at point A
So, the torque on the rod should be zero
Taking torque about A to be zero
Let the length of rod be L and the tension in string be T
$τ = W \times \frac{l}{2} - T \times L = 0$

$∴ T = \frac{W}{2}$

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A uniform rod AB of weight W is hinged to a fixed point at A. It is held in the horizontal position by as string, one end of which is attached to B . Find in terms of W, the tension in the string :

The correct option is D 0.5WGiven that the string is tied to the end B and the rod is hinged at point ASo, the torque on the rod should be zeroTaking torque about A to be zeroLet the length of rod be L and the tension in string be Tτ=W×l2−T×L=0∴T=W2

A uniform rod AB of weight $W$ is hinged to a fixed point at A. It is held in the horizontal position by as string, one end of which is attached to B . Find in terms of $W$ , the tension in the string :