A pendulum is suspended in a lift and its period of oscillation when the lift is stationary is  $T_0$. What must be the acceleration of the lift for the period of oscillation of the  pendulum to be $T_0/2$ ?

The bob of simple pendulum having length $l$, is displaced from mean position to an angular position $\theta$ with respect to vertical. If it is released, then velocity of bob at lowest position

Two simple pendulum whose lengths are $1\,m$ and $121\, cm$ are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum will the two be in phase again

A simple pendulum is suspended in a car. The car starts moving on a horizontal road according to equation  $x\, = \,\frac{g}{2}\,\sqrt 3 {t^2}$. Find the time period of oscillation of the pendulum.

The motion of a simple pendulum excuting $S.H.M$. is represented by following equation.

$Y = A \sin (\pi t +\phi)$, where time is measured in $second$.

The length of pendulum is ………….$cm$