Time period of a particle in S.H.M. Depends on the force constant K and mass m of the particle `T=2pisqrtm//k`. A simple pendulum for small angular displacement executes S.H.M. approximately. Why then is the time periodof a pendulum independent of the mass of the pendulum ?

Explanation

Restoring force in case of simple pendulum is given by `F= (mg)/l y Rightarrow K =(mg)/l` So force constant itself proportional to` m` as the value of `k` is substituted in the formula, `m` is cancelled out.