All Problems

Mechanical Oscillations

Problem 4.27

Determine the period of oscillations of mercury of mass \(m=200\) g poured into a bent tube (Fig. 4.5 ) whose right arm forms an angle \(\theta=30^{\circ}\) with the vertical. The cross-sectional area of the tube is \(S=0.50 \mathrm{~cm}^{2} .\) The viscosity of mercury is to be neglected.

Reveal Answer
T=2πm/Sρg(1+cosθ)=0.8 sT=2 \pi \sqrt{m / S \rho g(1+\cos \theta)}=0.8 \mathrm{~s}