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Which of the following expressions corresponds to simple harmonic motion along a straight line, where x is the displacement and a , b , c are positive constants?

Options

  1. Aa+b x-c x^2
  2. Bbx ^2
  3. Ca-b x+c x^2
  4. D-b x

Correct answer

D. -b x

Step-by-step solution

In linear S.H.M., the restoring force acting on particle should always be proportional to the displacement of the particle and directed towards the equilibrium position. i.e., F x or F =- bx where b is a positive constant.

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