Ncert Exercises & Solutions

The relations between acceleration and displacement of four particles are given below. Which one of the particles is executing simple harmonic motion?
1. \(a_1 = +2x\)
2. \(a_1= +2x^2\)
3. \(a_1= -2x^2\)
4. \(a_1 = -2x\)

(d) Hint: Use the relation between the acceleration and displacement in SHM.

For the motion to be SHM, the acceleration of the particle must be proporrtional to negative displacement.

i.e.,

a \propto

-y

We should clear that acceleration should be linear with the displacement.

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