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faust18 [17]
3 years ago
11

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?
Physics
1 answer:
Anni [7]3 years ago
7 0

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.

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