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Which of the following is necessary and sufficient condition for SHM?

  • Option 1)

    Constant Period

  • Option 2)

    Constant Acceleration.

  • Option 3)

    Proportionality between acceleration & velocity

  • Option 4)

    Propotionality between Restoring force and displacement from mean position

 

Answers (1)

F = -kx

 

Mean Position -

A position  during oscillation where the particle is at equilibrium position, i.e. net force on particle at this position is zero.

- wherein

Force acting on particle always point towards mean position.

 

 

 


Option 1)

Constant Period

This is incorrect.

Option 2)

Constant Acceleration.

This is incorrect.

Option 3)

Proportionality between acceleration & velocity

This is incorrect.

Option 4)

Propotionality between Restoring force and displacement from mean position

This is correct.

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Vakul

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