Which of the following motion of cam roller - follower leads to the lo...
Explanation:
The jerk is the rate of change of acceleration with respect to time. In other words, it measures how quickly the acceleration is changing. A low jerk indicates a smooth motion, while a high jerk indicates a jerky or abrupt motion.
Uniform motion:
Uniform motion refers to a constant velocity, which means there is no acceleration. Since there is no acceleration, the jerk is zero. Therefore, uniform motion leads to the lowest jerk.
Simple harmonic motion:
Simple harmonic motion is a type of periodic motion where the acceleration is directly proportional to the displacement from the equilibrium position. The acceleration changes direction at the extreme positions, resulting in a high jerk. Therefore, simple harmonic motion does not lead to the lowest jerk.
Cycloidal motion:
Cycloidal motion is a smooth and continuous motion characterized by a curved path. It is often used in cam mechanisms to provide smooth and gradual motion. The acceleration changes smoothly during cycloidal motion, resulting in a lower jerk compared to simple harmonic motion. However, it is not the motion that leads to the lowest jerk.
Parabolic motion:
Parabolic motion is a smooth and continuous motion characterized by a curved path. It is often used in cam mechanisms to provide smooth and gradual motion. The acceleration changes smoothly during parabolic motion, resulting in a lower jerk compared to simple harmonic motion. However, it is not the motion that leads to the lowest jerk.
Conclusion:
Out of the given options, simple harmonic motion does not lead to the lowest jerk. The correct answer is therefore option B.
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