Out of the following functions representing motion of a particle which represent SHM? (a) y= sin omega t- cos omega t (b) y= sin^(2) omega t (c ) y= 5cos ((3pi)/(4)-3 omega t) (d) y= 1+ omega t+ omega^(2) t^(2)

Out of the following functions representing motion of a particle which

1.	Out of the following functions representing motion of a particle which represent SHM? (a) y= sin omega t- cos omega t (b) y= sin^(2) omega t (c ) y= 5cos ((3pi)/(4)-3 omega t) (d) y= 1+ omega t+ omega^(2) t^(2)
Answer» Only (a) Only (d) does not REPRESENT SHM Only (a) and (c ) Only (a) and (b) SOLUTION :`y= SIN OMEGA t- cos omega t= sqrt(2) sin (omega t-(pi)/(4))` and `y= 5 cos ((3pi)/(4)-3 omega t)` `= 5cos (3 omega t- (3pi)/(4))`. These equations represents a SHM with similar to the equation of displacement `y= A sin (omega t+x)`.