A uniform L shaped rod each of side a is held, as shown in the figure. The angle θ such that rod remains stable will be.

Question

A uniform L shaped rod each of side a is held, as shown in the figure. The angle θ such that rod remains stable will be., t a n - 1 1 2, t a n - 1 1 3, t a n - 1 2, t a n - 1 3

MARKS App · Accepted Answer

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

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