Chapter 8.5, Problem 64AYU

To determine

To state: The simple harmonic motion and damped motion.

Answer to Problem 64AYU

The Simple harmonic motion is a repetitivemovementback and forth through anequilibrium and when the motion of an oscillator reduces due to an external force, the oscillator and its motion are damped.

Explanation of Solution

Simple harmonic motion is a repetitivemovementback and forth through anequilibrium, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.

The time interval of each complete vibration is the same. Theforceresponsible for the motion is always directed toward the equilibrium position and is directly proportional to the distance from it.

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.

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 frictionalforces.