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Three SHO's of equal amplitude A and equ...

Three `SHO's` of equal amplitude `A` and equal time period combine in the same direction. The difference in phase between successive `SHO's` os `60^(@)`ahead of the other. The amplitude of the resultant oscillation is

A

A

B

2A

C

0

D

4A

Text Solution

Verified by Experts

The correct Answer is:
B
`x = A sin (omega t) + A sin (omega t + 60^(@)) + A sin (omega t + 120^(@))`
`x = A sin omega t + sqrt(3) A cos omega t`
`A_(res) = sqrt(A^(2) + 3A^(2)) = 2A`
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NARAYNA-OSCILLATIONS-EXERCISE - I (H.W)
  1. A 20g particle is executing SHM between the limits (5,0,0)cm and (15, ...

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  2. A particle is subjected to two SHMs x(1) = A(1) sin omegat and x(2) ...

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  3. Three SHO's of equal amplitude A and equal time period combine in the ...

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  4. The displacement of an obuect attached to a spring and executing simpl...

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  5. If the displacement x and velocity v of a particle executing SHM are r...

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  6. The equation for the displacement of a particle executing SHM is x = 5...

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  7. The ratio of velocities of particle in SHM at displacements A//3 and 2...

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  8. The time period of oscillation of a particle that executes SHM is 1.2s...

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  9. An object is attched to the bottom of a light vertical spring and set ...

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  10. A particle executes SHM along a straight line 4cm long. When the displ...

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  11. The equation of motion of a particle in SHM is a +16 pi^(2)x = 0. Here...

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  12. A body executing SHM has a maximum velocity of 1ms^(-1) and a maximum ...

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  13. The acceleration of a particle in SHM is 0.8ms^(-2), when its displace...

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  14. A body of mass 0.5kg is performing SHM with a time period .^(pi)//(2) ...

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  15. A body of mass 1//4 kg is in SHM and its displacement is given by the ...

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

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

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

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

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

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