A second pendulum starts its oscillation from the extreme position. What is the ratio of it's amplitude to the displacement after 7 seconds?
Correct answer: A. 1:2
- A. 1:2
- B. 1:4
- C. 1:14
- D. Infinity
Explanation
For a simple pendulum, the ratio of the amplitude to the displacement after a given time is 1:2. This means that the amplitude of the pendulum is twice the displacement at any given point during the oscillation. In this case, the pendulum starts from the extreme position, which means the displacement at the beginning is equal to the amplitude. After 7 seconds, the displacement will be half of the amplitude, resulting in a ratio of 1:2.
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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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