The differential equation of SHM for a seconds pendulum is

The phase change of a particle performing SHM between successive passages through the mean position is

If the equation of motion of a particle performing SHM is x = 0.028 cos $(2.8\pi t+\pi )(2.8\backslash pi\; t\; +\; \backslash pi)$ (all quantities in SI units), the frequency of the motion is

A spring-and-block system constitutes a simple harmonic oscillator. To double the frequency of oscillation, the mass of the block must be ….. the initial mass.

A horizontal spring-and-block system consists of a block of mass 1 kg, resting on a frictionless surface, and an ideal spring. A force of 10 N is required to compress the spring by 10 cm. The spring constant of the spring is

A vertical spring-and-block system has a block of mass 10 g and oscillates with a period 1 s. The period of SHM of a block of mass 90 g, suspended from the same spring, is

A simple harmonic oscillator has an amplitude A and period T. The time required by the oscillator to cover the distance from x = A to x = $\frac{A}{2}\backslash frac\{A\}\{2\}$ is

The period of SHM of a particle with maximum velocity 50 cm/s and maximum acceleration 10 $cm\mathrm{/}{s}^{2}cm/s^2$ is

A particle executing SHM of amplitude 5 cm has an acceleration of 27 $cm\mathrm{/}{s}^{2}cm/s^2$ when it is 3 cm from the mean position. Its maximum velocity is

A particle performs linear SHM with a period of 6 s, starting from the positive extremity. At time t = 7 s, its displacement is 3 cm. The amplitude of the motion is