Question

derive the expression for the resultant of two simple harmonic motions of different frequencies simultaneously act on a body?​

Answer 1

Answer:

Composition, here, means combining more than one simple harmonic motion. However, this statement needs to be interpreted carefully. Every particle has only one motion at a time. Actually, we mean to combine two or more harmonic motions, which result from the operation of forces, each of which is individually capable of producing SHM. Therefore, it is actually combining SHMs, produced by forces operating on a “single” particle.

Further, we need to emphasize one important limitation to our discussion. Our context is limited to combining effects of forces which produce SHMs of “same” frequency.

We organize our study under two heads :

Composition of SHMs along same straight line.

Composition of SHMs along two mutually perpendicular straight lines.