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Which of the following conditions is not...

Which of the following conditions is not sufficient for SHM and why?
(i) acceleration`prop` displacement,
(ii) restoring force `prop` displacement.

Text Solution

Verified by Experts

Condition (i) is not sufficient, because direction of acceleration is not mentioned. In SHM, the acceleration is always in a direction opposite to that of the displacement.
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Knowledge Check

  • Which of the following is a necessary and sufficient condition for S.H.M.

    A
    Constant period
    B
    Constant acceleration
    C
    Proportionality between acceleration and displacement from equilibrium positio
    D
    Proportionality between restoring force and displacement from equilibrium position

  • In SHM , acceleration versus displacement (from mean position) graph:

    A
    is always a straight line passing through origin and slope-`1`
    B
    is always a stright line passing through origin and slope`+1`
    C
    is always a stright line not necessarily passing through oringin
    D
    none of the above

  • Which of the following graphs best represents the variation of acceleration 'a' with displacement x?

    A
    B
    C
    D

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    If acceleration prop displacement, will that be a sufficient condition for simple harmonic motion ?

    Which of the following relationships between the acceleration 'a' and the displacement x' of a particle involve S.H.M.?

    Which of the following relationships between the acceleration 'a' and the displacement x' of a particle involves S.H.M.?

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    Assertion : Acceleration is proportional to the displacement. This condition is not sufficient for motion in simple harmonic. Reason : In simple harmonic motion direction of displacement is also considered.

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