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Passage IX) For SHM to take place force ...

Passage IX) For SHM to take place force acting on the body should be proportional to -x or F = -kx. If A be the amplitude then energy of oscillation is `1/2`k`A^(2)`
Force acting on a block is `F=(-4x +8)`. Here F is in Newton and x the position of block on x-axis in meter

A

motion of the block is periodic but not simple harmonic

B

Motion of the block is not periodic

C

motion of the block is simple harmonic about origin, x=0

D

motion of the block is simple harmonic about x=2m.

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The correct Answer is:
D
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DC PANDEY-SIMPLE HARMONIC MOTION-More than one option is correct
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  2. Total energy of a particle executing oscillating motionis 3 joule and ...

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  3. System shown in fig is in equilibrium and at rest. The spring and stri...

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  4. In the figure shown, a block A of mass m is rigidy attached to a light...

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  5. Passage IX) For SHM to take place force acting on the body should be p...

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  6. Passage IX) For SHM to take place force acting on the body should be p...

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  7. Passage X) A 2kg block hangs without vibrating at the bottom end of a ...

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  8. Passage X) A 2kg block hangs without vibrating at the bottom end of a ...

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  9. Passage X) A 2kg block hangs without vibrating at the bottom end of a ...

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  10. Passage XI) The differential equation of a particle undergoing SHM is ...

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  11. Passage XI) The differential equation of a particle undergoing SHM is ...

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  12. The equation of motion may be given by

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  13. Passage XII) A particle of mass m is constrained to move along x-axis....

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  14. Passage XII) A particle of mass m is constrained to move along x-axis....

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  15. Passage XII) A particle of mass m is constrained to move along x-axis....

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  18. Passage XIV) A uniform cylindrical block of mass 2M and cross-sectiona...

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  19. Passage XIV) A uniform cylindrical block of mass 2M and cross-sectiona...

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  20. Passage XIV) A uniform cylindrical block of mass 2M and cross-sectiona...

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