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Question

Can satellite revolving around the earth be taken as simple harmonic motion?(give clear explanation)

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Solution

What is a harmonic motion?

Any motion that repeats itself at regular intervals is called harmonic motion or periodic motion.

Examples of harmonic motion include a satellite orbiting around the earth or the earth revolving around the sun.

The above examples are harmonic for two reasons. First, the object will return to its original position or the location where it started. We call this situation cycles.

Second, the object will take a certain amount of time to get back to the location where it started. The time it takes to get back where it started is called periodand T is used to represent the period.

It takes the earth 365 and 1/4 days to orbit the sun.

The period is 365 and 1/4 days.

Any vibration is a harmomic motion because it involves movements that repeat themselves at regular intervals. However, not every vibration is a simple harmonic motion as we shall see next.

What is a simple harmonic motion?

A simple harmonic motion (SHM) is a special case of harmonic motion. A SHM is a back and forth motion and it always requires a restoring force and the restoring force is proportional to the displacement from equilibrium.

What is a restoring force? A restoring force is a force that brings an object back to its equilibrium position.


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