A man is swinging on a swing made of 2 ropes of equal length L and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is :-

Question

G1 Physics · Accepted Answer

For this swing geometry, the centre of mass undergoes small angular motion with equivalent pendulum length Lₑ=√3 L/2. Hence T=2π√(Lₑ/g)=2π√(√3 L/2g). Correct answer: B.