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The weight suspended from a spring oscillates up and down. The acceleration of weight will be zero at

Question

The weight suspended from a spring oscillates up and down. The acceleration of weight will be zero at

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Solution

The acceleration of the weight suspended from a spring will be zero at the equilibrium position. This is because at this point, the weight is not being pulled or pushed in any direction, so there is no force acting on it, and therefore no acceleration.

Here are the steps to understand this:

  1. When a weight is suspended from a spring, it creates a system known as a simple harmonic oscillator.

  2. In this system, the weight will oscillate (move up and down) around an equilibrium position, which is the point where the weight naturally comes to rest when there are no external forces acting on it.

  3. When the weight is at the equilibrium position, the spring is neither stretched nor compressed, meaning there is no force from the spring acting on the weight.

  4. According to Newton's second law of motion (Force = mass x acceleration), if the net force acting on an object is zero, its acceleration is also zero.

  5. Therefore, when the weight is at the equilibrium position and there are no other external forces, the acceleration of the weight is zero.

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