Question

 

The displacement y of a particle executing simple harmonic motion is given by 

                                     

The expression may be considered to be a result of the superposition of how many simple harmonic motions?

Solution

Correct option is

Three

 

We can write,  Therefore,

                     

                        

                        

Thus y is a superposition of three simple harmonic motions of angular frequencies 9991000 and 1001 rad s–1. But a superposition of two or more simple harmonic motions of different frequency does not produce a simple harmonic motion. The statement of the question is incorrect.

SIMILAR QUESTIONS

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