All Problems

Mechanical Oscillations

Problem 4.5

A point performs harmonic oscillations along a straight line with a period T=0.60 sT=0.60 \mathrm{~s} and an amplitude a=10.0 cm.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,a / 2, starting from (a) the extreme position; (b) the equilibrium position.

Reveal Answer
(a) v=3a/T=0.50 m/s\langle v\rangle=3 a / T=0.50 \mathrm{~m} / \mathrm{s} (b) v=6a/T=1.0 m/s\langle v\rangle=6 a / T=1.0 \quad \mathrm{~m} / \mathrm{s}