All Problems

Mechanical Oscillations

Problem 4.27

Determine the period of oscillations of mercury of mass m=200m=200 g poured into a bent tube (Fig. 4.5 ) whose right arm forms an angle θ=30∘\theta=30^{\circ} with the vertical. The cross-sectional area of the tube is S=0.50 cm2.S=0.50 \mathrm{~cm}^{2} . The viscosity of mercury is to be neglected.

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