TorqueHardQuestion 6142
Question
Torque due to gravity on a uniform rod (M, L) pivoted at one end, making angle θ with vertical:
- AMgL sinθ
- BMgL cosθ
- CMgL sinθ/2Correct
- DMgL cosθ/2
Correct answer
MgL sinθ/2
Explanation
Gravity acts at L/2 from pivot. Perpendicular distance = (L/2)sinθ. τ = Mg×(L/2)sinθ = MgL sinθ/2.