If a $SHM$ is represented by $\frac{d^2x}{dt^2} + ax = 0$,its time period is:

The figures correspond to two circular motions. The radius of the circle,the period of revolution,the initial position,and the sense of revolution (i.e.,clockwise or anti-clockwise) are indicated on each figure. Obtain the corresponding simple harmonic motions of the $x$-projection of the radius vector of the revolving particle $P$,in each case.

What is the value of frequency in the differential equation of $SHM$ $\frac{d^{2}x}{dt^{2}} + 100x = 0$?

What is periodic motion? Give its examples.

In simple harmonic motion,the acceleration of a particle is given by $a = -bx$. What is the time period of the motion?

$A$ particle is executing simple harmonic motion with an amplitude $A$ and time period $T$. The displacement of the particle after $2T$ time from its initial position is