Which of the following funchtions of time represent (a) periodic and (b) non-periodic motion? Give the period for each of period motion. `(omega` is any positive constant )
(i) `sinomegat+cosomegat`
(ii) `sinomegat+cos2omegat+sin4omegat`
(iii) `e^(-omegat)` (iv) `logomegat`

Explanation

(i) `1/2momega^(2)(a^(2)-y^(2)) = 1/2momega^(2)y^(2) Rightarrow`y=a/sqrt2
(ii) `v=omegasqrt(a^(2)-y^(2)) Rightarrow alphaomega = omegasqrt(a^(2)-y^(2)) Rightarrow y = + asqrt3/2`.