The displacement `y` of a particle periodic motion is given by `y = 4 cos ((1)/(2) t) sin (1000 t)` This expression may be considered as a result of the superposition ofA. twoB. threeC. fourD. five

The displacement `y` of a particle periodic motion is given by `y = 4

1.	The displacement `y` of a particle periodic motion is given by `y = 4 cos ((1)/(2) t) sin (1000 t)` This expression may be considered as a result of the superposition ofA. twoB. threeC. fourD. five
Answer» Correct Answer - B `y =(4)/(2) [ 2 cos ^(2) ((t)/(2)) ] sin (1000 t)` or ` y = 2 ( 1 + cos t) sin 1000 t` or t = 2 sin 1000 t + 2 sin 1000 t cos t` or ` y = 2 sin 1000 t + sin (1001 t) + sin (999 t)` So , the given the expression is a result of the superposition of three independent harmonic motions .

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The displacement `y` of a particle periodic motion is given by `y = 4 cos ((1)/(2) t) sin (1000 t)` This expression may be considered as a result of the superposition ofA. twoB. threeC. fourD. five

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