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

Step-by-step solution

At equilibrium, the centre of mass will be below the point of suspension. Taking torque about point O, m g l 2 sin ⁡ θ + m g l sin ⁡ θ - l 2 cos ⁡ θ = 0 ⇒     3 l 2 sin ⁡ θ = l 2 cos ⁡ θ ⇒   tan ⁡ θ = 1 3 ⇒   θ = t a n - 1 1 3