All Problems

Mechanical Oscillations

Problem 4.19

Determine the period of small oscillations of a mathematical pendulum, that is a ball suspended by a thread l=20 cml=20 \mathrm{~cm} in length, if it is located in a liquid whose density is η=3.0\eta=3.0 times less than that of the ball. The resistance of the liquid is to be neglected.

Reveal Answer
T=2πηl/g(η1)=1.1 sT=2 \pi \sqrt{\eta l / g(\eta-1)}=1.1 \mathrm{~s}