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 the downward vertical is θ, then:
tanθ=2√3
tanθ=13
tanθ=12
tanθ=12√3
Solution:
Let the mass of one rod be m. Balancing torque about the point mg(C1P) = mg(C2N) mg(L/2sinθ) = mg(L/2cosθ - Lsinθ) → 3/2mgLsinθ = mgL/2cosθ → tanθ = 1/3