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14.6 Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion?

(a) A = 0.7x

(b) A = –200x2

(c) A = –10x

(d) A = 100x3

0 5 Views | Posted 5 months ago
Asked by Shiksha User

  • 1 Answer

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    Answered by

    Vishal Baghel | Contributor-Level 10

    5 months ago

    A motion represents simple harmonic motion if it is governed by the force of law

    F = ma, where F is the force, m is the mass and a is the acceleration and F = kx, where k is a constant among given equation and x is the displacement.

    We can write a = km x

    Only equation a = -10x is written in this form. Hence this relation represents SHM. The answer is option (c).

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