Categories the following function of time `3 sin ( 2 omegat - (pi)/( 4))` as
(a) SHM , (b) Periodic but not SHM. Also give the period.

Explanation

To categorize the function of time \( y(t) = 3 \sin(2 \omega t - \frac{\pi}{4}) \) as either Simple Harmonic Motion (SHM) or periodic but not SHM, and to find the period, we can follow these steps:

### Step 1: Identify the Standard Form of SHM
The standard equation for Simple Harmonic Motion is given by:
\[ x(t) = A \sin(\omega t + \phi) \]
where:
...