Question

28. Vibration of simple pendulum in oil is an example of
(A) Free oscillation
(B) Damped oscillation
(C) Forced oscillation
(D) None of these​

Answer 1

Answer:

options number (b)

damped

Answer 2

Vibration of pendulum in oil is an example of DAMPED OSCILLATIONS.

• First of all, oil is a viscous medium.

• Now, when a pendulum is being allowed to oscillate inside a viscous medium like oil, the pendulum experiences resistive and dissipative forces.

• Because of these forces, the pendulum eventually loses a part of its total energy in the form of heat energy.

• With lose of energy, the amplitude of oscillation of the pendulum gradually decreases. Theoretically, after a long time, the amplitude becomes zero.

The mathematical equation that can be related with damped oscillation is:

$\boxed{ \bf \: x = {e}^{ - \gamma t} A \cos( \omega t - \alpha ) }$

• In the equation, it is clearly visible that $\boxed{e^{-\gamma t}}$ component is responsible for reduction of amplitude over time.

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