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Displacement of a particle, in periodic ...

Displacement of a particle, in periodic motion, is represented by `y = 4 cos^(2) ((t)/(2))` sin (1000t). If the equation is the superposition of n number of simple harmonic motion then n becomes

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The displacement of a particle in a periodic motion is given by y =4 cos^2(t/2)"sin"(1000 t). This displacement may be considered as the result of superposition of n independent harmonic oscillations. Here n is

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    1
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    C
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    D
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  • The displacement of a particle in a periodic moment is given by y = 4 cos^2(1/2)sin(1000t) . This displacement may be considered as the result of superposition of n independent harmonic oscillations. Here n is

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  • The displacement y of a particle executing periodic motion is given by y=4cos^2(t/2)sin (1000t) . This expression may be considered to be a result of the superposition of how many independent harmonic motion?

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    five
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