Oscillations Te...

The mean value of velocity vector projection average over $$3/8$$th of a period after the start is

The displacement of a particle along the x-axis is given by x = a $$sin^{2}$$t. The motion of the particle corresponds to

Frequencies used in TV communications are in the range of

A particle performing $$SHM$$ is found at its equilibrium at $$t=1\ sec$$ and it is found to have a speed of $$0.25\ m/s$$ at $$t=2\:s$$. If the period of oscillation is $$6\ sec$$, calculate amplitude of oscillation.

The period of small oscillations is

The equation of a simple harmonic wave is given by  $$y=3sin\frac{\pi }{2}(50t-x)$$ where x and y are in meters and t is in seconds. The ratio of maximum particle velocity to the wave velocity is:

A particle of mass m moves with the potential energy U shown above.The period of the motion when the particle has total energy E is

A particle is moving in a circular path with continuously increasing speed. Its motion is

The oscillators that can be described in terms of sine or cosine functions are called

The acceleration-displacement (a-x) graph of a particle executing simple harmonic motion is shown in the figure. Find the frequency of its oscillation.