Oscillations Te...

If at any instant of time the displacement of a harmonic oscillator is $$0.02\ \text{m}$$ and its acceleration is $$2\ \text{ms}^{-2}$$, its angular frequency at that instant will be

The equation of displacement of a particle executing SHM is $$x=0.40 \cos(2000 t+18)$$. The frequency of the particle is

Identical springs of spring constant $$K$$ are connected in series and parallel combinations. A mass $$m$$ is suspended from them. The ratio of their frequencies of vertical oscillations will be

In SHM, select the wrong statement, where $${F}$$ is the force, $${a}$$ is the acceleration and $${v}$$ is the velocity of the particle in SHM.

The following figure shows three identical springs $$A, B, C$$. When a 4 kg weight is hung on $$A$$, it descends by $$1$$ cm. When a $$6$$ kg weight is hung on $$C$$, it will descend by

A particle of mass $$M$$ is executing oscillations about the origin on the x-axis. Its potential energy is $$|U|=K|x^2|$$ where $$K$$ is a positive constant. If the amplitude of oscillations is $$a$$, then its period $$T$$ is

The equation of S.H.M. of a particle  is $$a+4\pi^{2}x=0$$ where $$a$$ is the instantaneous linear acceleration at displacement $$x$$. The frequency of motion is

Which of the following quantities is non-zero at the mean position for a particle executing SHM?

A particle is executing SHM along a straight line $$8\ \text{cm}$$ long. While passing through mean position its velocity is $$16\ \text{cms}^{-1}$$. Its time period will be:

The time period of a particle executing SHM is $$\displaystyle \frac{2\pi}{\omega}$$ and its velocity at a distance $$b$$ from mean position is $$\sqrt{3}b\omega$$. Its amplitude is