Question

which of the following condition is not sufficient for simple harmonic motion and why 1 ) acceleration and displacement 2) restoring force and displacement​

Answer 1

Condition (1) is not sufficient.

Explanation:

Simple harmonic motion :

Simple harmonic motion is the oscillation motion.

The restoring force is directly proportional to the displacement.

Here, the direction of the force is opposite of the displacement.

In mathematically term,

$F\propto -x^2$

$F=-kx^2$

Where, F = restoring force

k = proportional constant

x = displacement

So, we can say that,

Condition (1) is not sufficient because the direction of motion is not mentioned.

The direction of acceleration is always opposite of the displacement.

Hence, Condition (I) is not sufficient.

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Topic : simple harmonic motion

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