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The cir cular motion of a particle with constant speed is [2005]
- a)periodic but not simple harmonic
- b)simple harmonic but not periodic
- c)periodic and simple harmonic
- d)neither periodic nor simple harmonic
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The cir cular motion of a particle with constant speed is [2005]a)peri...
In circular motion of a particle with constant speed, particle repeats its motion after a regular interval of time but does not oscillate about a fixed point. So, motion of particle is periodic but not simple harmonic.
Most Upvoted Answer
The cir cular motion of a particle with constant speed is [2005]a)peri...
Circular motion refers to the movement of a particle along a circular path. In this case, the particle is moving with a constant speed. To determine whether this motion is periodic and simple harmonic, we need to understand the characteristics of each type of motion.
Periodic Motion:
- Periodic motion is a type of motion that repeats itself after a fixed interval of time.
- The motion of the particle along a circular path is periodic because it repeats itself after completing one full revolution.
- In this case, the particle will return to its initial position after completing one full revolution, and the motion will continue to repeat as long as the particle maintains a constant speed.
Simple Harmonic Motion:
- Simple harmonic motion is a type of motion in which the restoring force is directly proportional to the displacement from the equilibrium position and acts in the opposite direction.
- The motion of the particle along a circular path with a constant speed is not simple harmonic because the restoring force acting on the particle is not directly proportional to the displacement from the equilibrium position.
- In circular motion, the centripetal force acts towards the center of the circle, always perpendicular to the displacement of the particle at any given point. This force is not directly proportional to the displacement and does not act in the opposite direction.
Conclusion:
Based on the above analysis, we can conclude that the circular motion of a particle with constant speed is periodic but not simple harmonic. Therefore, the correct answer is option A - periodic but not simple harmonic.
Periodic Motion:
- Periodic motion is a type of motion that repeats itself after a fixed interval of time.
- The motion of the particle along a circular path is periodic because it repeats itself after completing one full revolution.
- In this case, the particle will return to its initial position after completing one full revolution, and the motion will continue to repeat as long as the particle maintains a constant speed.
Simple Harmonic Motion:
- Simple harmonic motion is a type of motion in which the restoring force is directly proportional to the displacement from the equilibrium position and acts in the opposite direction.
- The motion of the particle along a circular path with a constant speed is not simple harmonic because the restoring force acting on the particle is not directly proportional to the displacement from the equilibrium position.
- In circular motion, the centripetal force acts towards the center of the circle, always perpendicular to the displacement of the particle at any given point. This force is not directly proportional to the displacement and does not act in the opposite direction.
Conclusion:
Based on the above analysis, we can conclude that the circular motion of a particle with constant speed is periodic but not simple harmonic. Therefore, the correct answer is option A - periodic but not simple harmonic.
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The cir cular motion of a particle with constant speed is [2005]a)peri...
Correct answer is option.A) periodic but not simple harmonic
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The cir cular motion of a particle with constant speed is [2005]a)periodic but not simple harmonicb)simple harmonic but not periodicc)periodic and simple harmonicd)neither periodic nor simple harmonicCorrect answer is option 'A'. Can you explain this answer?
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