Which one of the following quantities is at a maximum when an object in simple harmonic motion is at its maximum displacement?Select one:a.accelerationb.kinetic energyc.frequencyd.speed
Question
Which one of the following quantities is at a maximum when an object in simple harmonic motion is at its maximum displacement?Select one:a.accelerationb.kinetic energyc.frequencyd.speed
Solution
The quantity that is at a maximum when an object in simple harmonic motion is at its maximum displacement is acceleration. So, the correct answer is a. acceleration.
Here's why:
In simple harmonic motion, the restoring force, and hence acceleration, is directly proportional to the displacement from the equilibrium position and is always directed towards it. Therefore, when the object is at its maximum displacement, the acceleration is also at its maximum.
On the other hand, the kinetic energy and speed are both zero at maximum displacement because the object momentarily comes to rest before changing direction. The frequency of the motion is a constant that depends on the system's properties, not on the object's position.
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