All Problems

Mechanical Oscillations

Problem 4.63

A small ball of mass m=21m=21 g suspended by an insulating thread at a height h=12 cmh=12 \mathrm{~cm} from a large horizontal conducting plane performs small oscillations (Fig. 4.22). After a charge qq had been imparted to the ball, the oscillation period changed η=2.0\eta=2.0 times. Find q\boldsymbol{q}

Reveal Answer
q=4hπε0mg(η2−1)=2.0μCq=4 h \sqrt{\pi \varepsilon_{0} m g\left(\eta^{2}-1\right)}=2.0 \mu \mathrm{C}
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