Oscillations

Which of the following does not affect the period of a mass-spring system?

The motion of a particle is given by $x = 3 \sin(2\pi t + \pi/4)$. What is the time period of the motion?

If the amplitude of a simple harmonic oscillator is doubled, its total energy becomes:

When the displacement of a particle in SHM is half of its amplitude ($x = A/2$), the magnitude of its acceleration is:

A particle performs SHM with frequency $f$. The frequency with which its velocity changes direction is:

If the acceleration of a particle in SHM is $a$ and its displacement is $x$, which of the following is constant?

In SHM, the potential energy is zero at $t = 0$. What is the phase constant $\phi$ if $x = A \sin(\omega t + \phi)$?

The expression for total energy in terms of mass $m$, period $T$ and amplitude $A$ is:

If the total energy of a particle in SHM is $E$, its potential energy at $x = A$ is:

What is the total distance traveled by the bob of a simple pendulum in one full oscillation if the amplitude is 'A'?

The restoring torque on a simple pendulum of length $l$ and mass $m$ for a small displacement $\theta$ is:

The angular frequency ($\omega$) of a simple pendulum is given by: