A simple pendulum has mass M, length L, and time period T. What is the period of oscillation of the pendulum with mass 4M and length 0.49L?
Correct answer: A. 0.7T
- A. 0.7T
- B. T
- C. 2T
- D. 3T
Explanation
Option A suggests that the period of oscillation for the new pendulum with mass 4M and length 0.49L is 0.7 times the period T of the original pendulum with mass M and length L. This is correct according to the calculations we performed, where the period of the new pendulum is found to be 0.7T. Therefore, option A) is correct.
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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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