Question

Tripling the displacement from equilibrium of an object in simple harmonic motion will bring about a change in the magnitude of the object's acceleration by what factor?

Answer 1

Answer:

acceleration will be tripled.

Explanation:

We know, when an object is performing Simple harmonic motion, the force

experience by it is directly proportional to its displacement from its mean position.

Also, F = ma , therefore, acceleration is also proportional to its displacement .

Now, F = kx

Therefore, $a=\dfrac{k\ x}{m}$

If we triple the displacement i.e, 3x.

Acceleration $a'=\dfrac{k(3x)}{m}=3a.$

Therefore, acceleration is also tripled.

Hence, this is the required solution.