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Question

Three identical rods are joined and hinged at A as shown. If the angle made by the rod AB with vertical in equilibrium is θ, then θ is


A
30°
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B
60°
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C
37°
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D
53°
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Solution

The correct option is C 37°

Let the length of each rod be L.
Then, the centre of gravity (COG) of the shape will be at the point shown in the figure.


tan θ = L/22L/3 = 34θ = tan1(34) = 37°

The line connecting the hinge A and the centre of gravity COG will be vertical (since the net torque about A has to be zero for equilibrium)

Therefore, the angle made by rod AB with the vertical is 37°


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