Moderate

A spring is moving with SHM from X=10 cm to X=40 cm then it has maximum velocity at?

Correct answer: B. 25cm

  • A. 10cm
  • B. 25cm
  • C. 30cm
  • D. 40cm

Explanation

The maximum velocity in SHM occurs at the equilibrium position. The equilibrium position is the midpoint of the oscillation, which is the average of the maximum and minimum positions.In this case, the maximum position is 40 cm and the minimum position is 10 cm. Therefore, the equilibrium position is:

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About Simple Harmonic Motion

Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.

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