For a simple pendulum of length and bob mass

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

For a simple pendulum of length LL and bob mass mm, the net torque about the pivot is τ=−mgLsin⁡θ\tau = -mgL\sin\theta, where θ\theta is the angular displacement from equilibrium. Derive an expression for the angular acceleration α\alpha of the bob for small angular displacements and identify the constant of proportionality between α\alpha and θ\theta.

Related theory

Browse the problem library