Question

The amplitude of a simiple harmonic oscillator is tripled. How does this affect (i) the maximum velocity (ii) the total energy and (iii) the period of the oscillator?

Answer 1

(i) `v_(max)=aomega` . If amplitude a is tripled, the value of maximum velocity becomes triple.
(ii) Total energy, `E=(1)/(2)momega^(2)a^(2)`. If a is tripled, then E becomes nine times.
(iii) `T=2pisqrt(m//k)`, since m and k do not change with the change in ampitude of oscillation, hence period of oscillator remains unchanged with change in amplitude of oscillation.