First slide

Motion of centre of mass

Question

Period of small oscillation in the two cases shows in the figure is $T_{1} and T_{2}$ respectively, then (neglect viscous force)

Easy

A

$T_{1} = T_{2}$
B

$T_{1} > T_{2}$
C

$T_{1} < T_{2}$
D

Depends on density of the liquid

Solution

$\begin{array}{l} T_{1} = 2 π \sqrt{\frac{m}{K + Aρg}} T_{2} = 2 π \sqrt{\frac{m}{K}} \\ T_{1} < T_{2} \end{array}$

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