Which one of the following equations of motion represents simple harmonic motion? Where $\mathrm{k},…

Which one of the following equations of motion represents simple harmonic motion? Where $\mathrm{k}, \mathrm{k}_0, \mathrm{k}_1$ and $\mathrm{a}$ are all positive
  1. Acceleration $=\mathrm{kx}$
  2. Acceleration $=-\mathrm{k}_0 \mathrm{x}+\mathrm{k}_1 \mathrm{x}^2$
  3. Acceleration $=-\mathrm{k}(\mathrm{x}+\mathrm{a})$
  4. Acceleration $=k(x+a)$

Solution

In $\mathrm{SHM}, \mathrm{F}_{\text {restoring }} \propto-\mathrm{X}$ :

Asked in: NEET 2009 (Mains)

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