Two simple pendulums, A and B, have lengths $L$ and $4L$ respectively. If the bob of pendulum A is displaced by a small angle $heta$ and released, what angle should the bob of pendulum B be displaced by to have the same maximum velocity as pendulum A?

The ratio of frequencies of two pendulum are 2:3, then their lengths are in ratio

To show that a simple pendulum executes simple harmonic motion, it is necessary to assume that

A child swings on a playground swing, undergoing simple harmonic motion. If the maximum acceleration of the child is $16 \, m/s^2$ when the swing is 4 cm from its equilibrium position, what is the period of the swing's motion?

The metallic bob of a simple pendulum has the relative density $\rho$.The time period of this pendulum is T. If the metallic bob is immersed in water, then the new time period is given by

A simple pendulum has a length $l$ . The inertial and gravitational masses of the bob are ${m_i}$ and ${m_g}$ respectively. Then the time period $T$ is given by

A simple pendulum is taken from the equator to the pole. Its period

If the mass of a planet were halved and the universal gravitational constant were doubled, how would the orbital speed of its moon change, assuming the orbital radius remains constant?

A particle of mass m is executing oscillations about the origin on the x-axis. Its potential energy is $U\left( x \right) = k{\left[ x \right]^3}$, where k is a positive constant. If the amplitude of oscillation is a, then its time period T is

If the length of a pendulum is made 9 times and mass of the bob is made 4 times then the value of time period becomes

If a simple pendulum is taken to the moon, its time period will: