All Problems Mechanical Oscillations
Problem 4.5
A point performs harmonic oscillations along a straight line with a period \(T=0.60 \mathrm{~s}\) and an amplitude \(a=10.0 \mathrm{~cm} .\) Find the mean velocity of the point averaged over the time interval during which it travels a distance \(a / 2,\) starting from (a) the extreme position; (b) the equilibrium position.
(a) \(\langle v\rangle=3 a / T=0.50 \mathrm{~m} / \mathrm{s}\) (b) \(\langle v\rangle=6 a / T=1.0 \quad \mathrm{~m} / \mathrm{s}\)