Question

Explain the effect of damping force in the S.H.M.executed by an

object.​

Answer 1

Answer:

Explanation:

When the motion of an oscillator reduces due to an external force, the oscillator and its motion are damped. These periodic motions of gradually decreasing amplitude are damped simple harmonic motion. An example of a damped simple harmonic motion is a simple pendulum.

In the damped simple harmonic motion, the energy of the oscillator dissipates continuously. But for a small damping, the oscillations remain approximately periodic. The forces which dissipate the energy are generally frictional forces.

Answer 2

Damping of oscillator in SHM:

• Dampening of oscillator means that the amplitude of the oscillations decrease with time.

• Assume that a block is oscillating with a spring inside a viscous medium. Due to dissipative force generated from the medium, the amplitude of the oscillator will decrease and ultimately become zero after sometime.

• As you can see from the graph, the amplitude is decreasing and becoming zero after infinite time.

The general equation of dampening is given as:

$\boxed{ \bf \: x(t) = A {e}^{ - \frac{bt}{2m} } \cos( \omega t + \phi_{0}) }$

• In the equation, it's clear that the e^(-bt/2m) factor is responsible for dampening, and the nature of the graph is exponential.

$\star$ Hope It Helps.