A spring with spring constant $k$ is stretched by a distance $x$. What is the maximum speed of a mass $m$ attached to the spring during its oscillation?

If the time period of oscillation of a mass $m$ attached to a spring is $T$, what will be the time period if the mass is doubled to $2m$?

A uniform cylinder of length $L$ and mass $M$ having cross sectional area A is suspended with its vertical length, from a fixed point by a massless spring, such that it is half submerged in a liquid of density d at equilibrium position. When released, it starts oscillating vertically with a small amplitude. If the force constant of the spring is $k$, the frequency of oscillation of the cylinder is

A pendulum and a mass-spring system have the same time period on Earth. If both are taken to the Moon where the acceleration due to gravity is less, which system will have a longer time period on the Moon?

A mass attached to a spring oscillates vertically. Which force is responsible for the restoring force?

A spring with spring constant $k$ is stretched by a distance $x$. What is the potential energy stored in the spring?

While driving around a curve of 200 m radius the driver noted that pendulum in the car hangs at an angle of ${15^\circ }$ to the vertical. The speedometer of the car reads (in ${\rm{m}}{{\rm{s}}^{ - 1}}$ )

A mass of 10 kg is suspended from a spring balance. It is pulled aside by a horizontal string so that it makes angle of 60° with the vertical. The new reading of the balance is

A simple pendulum has time period T. The bob is given negative charge and surface below it is given positive charge. The new time period will be

If the time period of a mass-spring system is 1 second, and the mass is quadrupled, what will the new time period be?

A body of mass $m$ is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass $m$ is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass $m$ is increased by 1 kg, the time period of oscillations becomes 5 s. The value of $m$ in kg is :