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  4. The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

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Q. The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out, the time period of oscillation would

NTA AbhyasNTA Abhyas 2020Oscillations

Solution:

Solution Solution Solution

and $T_{1}>T_{2}$

The given system is like a simple pendulum whose effective length is between the point of suspension and the center of gravity of the hanging body.
When water slowly flows out, the sphere, the centre of gravity. of system is changing as shown in the figures.
Hence, time period first increases and then decreases to the original value.