Simple Harmonic Motion - Mechanics - Physics Previous Year Questions

A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resultant amplitude is equal to the amplitude of the individual motion, the phase difference (\(\delta\)) between the two motion is

In a simple harmonic motion, let f be the acceleration and t be the time period. If x denotes the displacement, then |fT| vs. x graph will look like,

A particle of mass '\(m\)' moves in one dimension under the action of a conservative force whose potential energy has the form of \(U(x)=-\frac{\alpha x}{x^2+\beta^2}\) where \(\alpha\) and \(\beta\) are dimensional parameters. The angular frequency of the oscillation is proportional to

A simple pendulum is taken at a place where its distance from the earth's surface is equal to the radius of the earth. Calculate the time period of small oscillations if the length of the string is 4.0 m . (Take $g=\pi^2 \mathrm{~ms}^{-2}$ at the surface of the earth.)

The variation of displacement with time of a simple harmonic motion (SHM) for a particle of mass $m$ is represented by $y=2 \sin \left(\frac{\pi t}{2}+\phi\right) \mathrm{cm}$. The maximum acceleration of the particle is

The displacement from mean position of a particle in SHM at 3 s is $\frac{\sqrt{3}}{2}$ of the amplitude, then its time period is

Two springs are joined and attached to a mass of 16 kg. The system is then suspended vertically from a rigid support. The spring constant of the two springs are K₁ and K₂ respectively. The period of vertical oscillations of the system will be