An oscillating body is at mean position at t = 0. At t = T/4 it will be at:
Correct answer: A. Extreme position
- A. Extreme position
- B. Mean position
- C. Between extreme and mean position
- D. Beyond extreme position
Explanation
The correct answer is that the body is at the extreme position at t = T/4. In simple harmonic motion, the oscillating body reaches the extreme positions at t = T/4 and t = 3T/4. The mean position is reached at t = 0, T/2, and T. The body cannot go beyond the extreme positions, and at T/4, it is not between the mean and extreme positions but precisely at the extreme position.
This question appeared on the UHS MDCAT 2010 paper, which you can sit online with every answer explained.
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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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