A simple pendulum completes 20 oscillations in 40 seconds. If the length is doubled, what is the new time period?

Velocity of a simple harmonic oscillation is given by $V = \sqrt {144 - 16{x^2}} {\mkern 1mu} {\mkern 1mu} m{s^{ - 1}}$ where x is displacement in metre. Then maximum velocity of that oscillator is

At what point in the oscillation of a simple pendulum is the tension in the string greatest?

The period of oscillation of a simple pendulum of length $\;\;l$ suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination α is given by

A plate oscillates with time period $'T'$. Suddenly, another plate put on the first time, then time period

Two simple pendulums with time periods of oscillations $2S$ and $3S$ respectively are drown to same side from their mean positions and are released simultaneously.The phase difference between the oscillations when the longer pendulum completes one oscillation is

A particle of mass m is located in a one dimensional potential field where potential energy is given by $\left( x \right) = A(1 - \cos px)$ where A and p are constants. The period of small oscillations of the particle is

A man measures the period of a simple pendulum inside a stationary lift and finds it to be $T$ second. If the lift accelerates upwards with an acceleration g/4, then the period of pendulum will be

A disc of radius $R$ and mass $M$ is pivoted at the rim and is set for small oscillations. If simple pendulum has to have the same period as that of the disc, the length of the simple pendulum should be

A disc of radius $R$ and mass $M$ is pivoted at the rim and is set for small oscillations. If simple pendulum has to have the same period as that of the disc, the length of the simple pendulum should be

The average acceleration of a particle performing SHM over one complete oscillation is