Oscillations Te...

If a particle is oscillating on the same horizontal plane on the ground.

What is the effect on the time period of a simple pendulum if the mass of the bob is doubled?

The function $$sin ^2(\omega t)$$ represents :

The equation of motion of a particle is $$x = a cos(\alpha t)^2$$. The motion is

The equation of simple harmonic wave is given by $$y=5$$sin $$\dfrac{5}{2}(100 t - x)$$, where $$x$$ and $$y$$ are in meter and time is in second. The time period of the wave (in second) will be.

The displacement of a particle from its mean position (in meter) is given by $$Y= 0.2\ sin (10 \pi t+1.5 )\ cos\ (10 \pi t+1.5 )$$. 
The motion of the particle is

Equation of SHM is x = 10 sin 10 $$\pi$$t. Then the time period is, x is in cm and t is in sec

Time period will be minimum when d is equal to

When a spring having spring constant $$2Nm^{-1}$$ is stretched by 5 cm, the energy stored in it is: 

For a body in $$S.H.M$$ the velocity is given by the relation $$v=\sqrt{144-16x^2}m/sec$$. The maximum acceleration is