The displacement of a particle is represented by the equation $y = \sin^3 \omega t$. The motion is

The figure given below depicts two circular motions. The radius of the circle,the period of revolution,the initial position and the sense of revolution are indicated in the figures. Obtain the simple harmonic motions of the $x$-projection of the radius vector of the rotating particle $P$ in each case.

On an average,a human heart is found to beat $75$ times in a minute. Calculate its frequency and period.

The equation of simple harmonic motion may not be expressed as (each term has its usual meaning):

$A$ particle moves on the $x-$axis according to the equation $x = x_0 \sin^2 \omega t$. Is the motion simple harmonic?

If the displacement $(x)$ and velocity $(v)$ of a particle executing simple harmonic motion are related through the expression $4v^2 = 25 - x^2$, then the time period is