Oscillations Te...

The equation of a progressive wave can be given by $$y = 15 \sin (660 \pi t- 0.02 \pi x) cm$$. The frequency of the wave is :

A simple pendulum executing $$SHM$$ with a period of $$6s$$ between two extreme positions $$B$$ and $$C$$ about a point $$O$$. If the length of the arc $$BC$$ is $$10$$cm, how long will the pendulum take the move from position $$C$$ to a position $$D$$ towards $$O$$ exactly midway between $$C$$ and $$O$$?

The displacement of a particle varies with time according to the relation $$y = a sin \omega t + b cos \omega t.$$

The amplitude of a particle in SHM is $${\text{5 }}cms$$ and its time period is $$\pi .$$ At a displacement of $$3\;cm$$ from its mean position the velocity in cm/sec will be:

The force on a particle of mass $$10\ g$$ is $$(10\hat{i}+5\hat{j})N$$. If it starts from rest, what would be its position at time $$t = 5 s$$?

An object with a mass M is suspended from an elastic spring with a spring constant k. The object oscillates with period T. If the mass of oscillations is quadrupled, how it will change the period of oscillations?

Two pendulums differ in lengths by $$22\ cm$$. They oscillate at the same place so that one of them makes $$30$$ oscillations and the other makes $$36$$ oscillations during the same time. The lengths (in cm) of the pendulums are

A particle executes SHM with an amplitude of $$2cm$$. When the particle is at $$1cm$$ from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is

The maximum velocity of a particle executing simple harmonic motion is $$v$$. If the amplitude is doubled and the time period of oscillation decreased to $$1/3$$ of its original value, the maximum velocity becomes:

Motion of an oscillating liquid in a U tube is