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Q.

An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If AB = BC, and the angle made by AB with downward vertical is θ then

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a

tanθ=123

b

tanθ=12

c

tanθ=13

d

tanθ=13

answer is D.

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Detailed Solution

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C1P=L2sinθ

 and C2 N=C2 M-MN=L2cosθ-Lsinθ

Balancing torque about hinge point.

mgC1P=mgC2N

mgL2sinθ=mgL2cosθ-Lsinθ

tanθ=13

 

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An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If AB = BC, and the angle made by AB with downward vertical is θ then