The displacement of a particle from its mean position in an oscillation under the influence of n independent SHMs, which are superposed on the particle, is given as y = 4 cos 2 ( t /2 ) sin ( 1000 t )

Question

The displacement of a particle from its mean position in an oscillation under the influence of $n$ independent SHMs, which are superposed on the particle, is given as $y = 4 cos^{2} (t /2) sin (1000 t)$ . Find $n$ .

Answer:

3

Solution:

$4 cos^{2} (t /2) = 2 (1 + cos t)$ , so $y = 2 sin 1000 t + sin 1001 t + sin 999 t$ : three SHMs.

TestHub · Accepted Answer

4 cos 2 ( t /2 ) = 2 ( 1 + cos t ) , so y = 2 sin 1000 t + sin 1001 t + sin 999 t : three SHMs.

Physics - SHM Question with Solution | TestHub

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