The displacement of a particle executing simple harmonic motion is given by $x=2 \cos (t)$, where $t$ is the time in seconds. Then, the time period of the particle is:

The circular motion of a particle with constant speed is

The displacement equation of a particle is $x = 3\sin 2t + 4\cos 2t$. The amplitude and maximum velocity will be respectively:

Define simple harmonic motion. Write important characteristics of simple harmonic motion.

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.

The displacement of a particle is given at time $t$,by: $x = A \sin (-2 \omega t) + B \sin^2 \omega t$. Then,