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Four simple harmonic vibrations x(1) =...

Four simple harmonic vibrations
`x_(1) = 8s "in" (omegat), x_(2) = 6 sin (omegat +(pi)/(2))`,
`x_(3) = 4 sin (omegat +pi)` and `x_(4) =2 sin (omegat +(3pi)/(2))` are superimposed on each other. The resulting amplitude is……units.

A

20

B

`8 sqrt(2)`

C

`4 sqrt(2)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Principle of superposition
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NARAYNA-OSCILLATIONS-EXERCISE - I (H.W)
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  2. A body of mass 1//4 kg is in SHM and its displacement is given by the ...

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  3. Four simple harmonic vibrations x(1) = 8s "in" (omegat), x(2) = 6 si...

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  4. A sewing machine needle is oscillating simple harmonically in a vertic...

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  5. A particle executing SHM is described by the displacement function x(t...

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  6. The velocities of a body executing SHM at displacement 'a' and 'b' are...

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  7. A block of 0.5kg is placed on a horizontal platform. The system is mak...

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  8. Due to some force F(1) a body oscillates with period 4//5s and due to ...

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  9. A simple pendulum performs simple harmonic motion about x=0 with an am...

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  10. particle is executing the motion x=A cos (omegat-theta) The maximum ve...

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  11. A particle executes simple harmonic motion with a period of 16s. At ti...

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  12. A particle executing simple harmonic motion with amplitude of 0.1 m. A...

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  13. A body is executing SHM. If the force acting on the body is 6N when th...

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  14. A particle executes SHM on a straight line. At two positions, its velo...

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  15. A particle moves such that its acceleration is given by a =- beta (x-2...

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  16. The displacement of a particle executing S.H.M from its mean position ...

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  17. A particle is executing SHM with an amplitude of 2 m. The difference i...

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  18. A simple pendulum having a bob of mass 100 g is oscillating with a max...

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  19. A simple pendulum of length l is connected to the ceiling of a vehicle...

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  20. A pendulum suspended from the roof of an elevator at rest has a time ...

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