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

The radius of the circle,the period of revolution,the initial position,and the sense of revolution are indicated in the figure. The $y$-projection of the radius vector of the rotating particle $P$ is:

Give the relation between periodic time and angular frequency.

$A$ particle of mass $0.4 \text{ kg}$ executes simple harmonic motion of amplitude $0.4 \text{ m}$. When it passes through the mean position,its kinetic energy is $256 \times 10^{-3} \text{ J}$. If the initial phase of the oscillation is $\pi / 4$,then the equation of its motion is

What is the angular frequency of a reference particle executing $SHM$?

$A$ body is moving in a room with a velocity of $20 \ m/s$ perpendicular to the two walls separated by $5 \ m$. There is no friction and the collisions with the walls are elastic. The motion of the body is