When is an oscillation called simple harmonic motion?
Correct answer: A. When acceleration is directly proportional to -x
- A. When acceleration is directly proportional to -x
- B. When acceleration is directly proportional to x
- C. When acceleration is directly proportional to v
- D. When acceleration is inversely proportional to -x
Explanation
Simple harmonic motion (SHM) is a type of oscillatory motion in which the acceleration of the system is directly proportional to the displacement from the equilibrium position and is always directed towards it. The restoring force acting on the system is also directly proportional to the displacement and is always directed towards the equilibrium position. Mathematically, this can be represented as:a = -ω²xwhere a is the acceleration, x is the displacement from the equilibrium position, and ω is the angular frequency of the oscillation.The negative sign in the equation represents the fact that the acceleration is always directed towards the equilibrium position. This means that when the displacement is positive, the acceleration is negative, and when the displacement is negative, the acceleration is positive. Therefore, the acceleration is directly proportional to -x.
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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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