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Passage I) In simple harmonic motion for...

Passage I) In simple harmonic motion force acting on a particle is given as `F=-4x`, total mechanical energy of the particle is 10 J and amplitude of oscillations is 2m, At time t=0 acceleration of the particle is `-16m/s^(2)`. Mass of the particle is 0.5 kg.
Displacement time equation equation of the particle is

A

`x=2sin2t`

B

`x= 2sin4t`

C

`x=2cos2t`

D

None of these

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The correct Answer is:
D
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DC PANDEY-SIMPLE HARMONIC MOTION-Comprehension types
  1. Passage I) In simple harmonic motion force acting on a particle is giv...

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  2. Passage I) In simple harmonic motion force acting on a particle is giv...

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  3. Passage I) In simple harmonic motion force acting on a particle is giv...

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  4. Passage II) Two identicla blocks P and Q have masses m each. They are ...

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  5. Passage II) Two identicla blocks P and Q have masses m each. They are ...

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  6. Passage II) Two identicla blocks P and Q have masses m each. They are ...

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  7. Passage III A block of mass m =1/2 kg is attached with two springs eac...

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  8. Passage III A block of mass m =1/2 kg is attached with two springs eac...

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  9. Passage IV) Angular frequency in SHM is given by omega=sqrt(k/m). Maxi...

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  10. Passage IV) Angular frequency in SHM is given by omega=sqrt(k/m). Maxi...

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  11. Passage V) In SHM displacement, velocity and acceleration all oscillat...

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  12. Passage V) In SHM displacement, velocity and acceleration all oscillat...

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  13. Passage VI Two particles collide when they are at same position at sam...

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  14. Passage VI Two particles collide when they are at same position at sam...

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  15. Passage VII There is a spring block system in a lift moving upwards wi...

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  16. Passage VII There is a spring block system in a lift moving upwards wi...

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  17. Passage VIII A disc of mass m and radius R is attached with a spring o...

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  18. In the problem if k = 10 N/m, m=2kg, R=1m and A=2m. Find linear speed ...

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