A particle is moving in a circle with uniform speed,for which the projection of the particle is moving along the diametre of the circle.In the given situation, the motion of projection is
Correct answer: D. Simple harmonic
- A. Linear
- B. Rotatory
- C. Circulatory
- D. Simple harmonic
Explanation
When a particle moves in a circle with uniform speed and its motion is projected onto a diameter of the circle, the projection exhibits simple harmonic motion (SHM). This is because the projection moves back and forth along the diameter in a repetitive, oscillatory manner, characteristic of SHM. Option A is incorrect because linear motion does not describe the oscillatory nature of the projection. Option B is incorrect because rotatory motion refers to spinning rather than the oscillation seen in SHM. Option C is incorrect because circulatory motion implies a circular path, which does not apply to the projection along a straight line.
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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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