$A$ chimpanzee swinging on a swing in a sitting position,stands up suddenly,the time period will

$A$ simple pendulum of length $1 \ m$ and having a bob of mass $100 \ g$ is suspended in a car,moving on a circular track of radius $100 \ m$ with uniform speed $10 \ m/s$. If the pendulum makes small oscillations in a radial direction about its equilibrium position,then its time period is given by $T = 2\pi / \alpha^{1/4}$. The value of $\alpha$ is (Take $g = 10 \ m/s^2$)

$A$ disc of mass $m$ and radius $R$ is attached to the ceiling with the help of two ropes of length $l$. Find the time period of small oscillations of the disc in the plane of the disc.

Which of the following statements is not true? In the case of a simple pendulum for small amplitudes, the period of oscillation is:

If a second's pendulum is moved to a planet where the acceleration due to gravity is $4$ times that on Earth,the length of the second's pendulum on the planet should be made .......... times to keep the time period constant.

The angular amplitude of a simple pendulum is $\theta_0$. The maximum tension in its string will be