Two simple pendulums, A and B, have lengths $l$ and $4l$ respectively. If the time period of pendulum A is T, what is the time period of pendulum B?

The maximum tension in the string of an oscillating simple pendulum is $3\%$ more than the minimum tension in the string. The angular amplitude of oscillations of the pendulum is

A mass attached to a spring oscillates horizontally. Its acceleration is $25 \, m/s^2$ when it is 10 cm from its equilibrium position. Find the period of oscillation.

Consider the following statements : The total energy of a particle executing simple harmonic motion depends on its I. Amplitude II. Period III. Displacement Of these statements

In a simple harmonic oscillator, the acceleration is $9 \, m/s^2$ when the displacement is 3 cm. What is the angular frequency ($\omega$) of the oscillator?

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 block of mass $100\,g$ attached at the bottom of a light spring stretches it by $9.8\,cm$. If the block is further pulled down by $2\,cm$ and released, the frequency of its oscillation will be $\left[ {g = 9.8\,\,m/{s^2}} \right]$

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 child's swing approximates a simple pendulum. If the child's weight doubles (e.g., by holding a heavy object), and the length of the swing's chains is reduced to half, by what factor does the period of the swing change?

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 simple pendulum hanging from the ceiling of a stationary lift has time period ${t_1}$. When the lift moves downward with constant velocity, the time period is ${t_2}$, then