Categorise the following function of time `: cos^(3) omega t ` as
(a) S.H.M.
(b) Periodic but not S.H.M. Also find the period.
Hint `:` `cos^(3) omegat= (1)/(4)( 3 cos omegat- cos 3 omegat )`

Categorise the following function of time : cos^(2) omega t as (a) S.H.M. (b) Periodic but not S.H.M. Also , give the period Hint : cos^(2) omegat = (1)/(2) + (1)/(2) cos 2 omegat

Categorise the following function of time : cos^(2) omega t as (a) S.H.M. (b) Periodic but not S.H.M. Also , give the period Hint : cos^(2) omegat = (1)/(2) + (1)/(2) cos 2 omegat

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

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

Categorise the following function of time e^(omega^(2)t) as (a) S.H.M. (b) Periodic but not S.H.M. Also , give period if it is periodic motion. Hint : Doest it repeat itself ?

Categorise the following function of time e^(omega^(2)t) as (a) S.H.M. (b) Periodic but not S.H.M. Also , give period if it is periodic motion. Hint : Doest it repeat itself ?

Categorise the following function of time : sin omega t + sin 3 omega t + sin 5 omega t as (a) S.H.M. (b) Periodic but no S.H.M. .Also give the period. Hint : Find the smallest interval of time after which the sum of 3 terms repeats

Categorise the following function of time : sin omega t + sin 5 omega t as (a) S.H.M. (b) Periodic but no S.H.M. .Also give the period. Hint : Find the smallest interval of time after which the sum of 3 terms repeats

Categorise the following function of time : sin omega t + sin 5 omega t as (a) S.H.M. (b) Periodic but no S.H.M. .Also give the period. Hint : Find the smallest interval of time after which the sum of 2 terms repeats

Which of the following functions of time represents (a) simple harmonic motion and (b) periodic motion? Given the period for each case. i. Sin omega t - cos omegat ii. Sin^(2)omegat