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Consider the following follower motions in respect of a given lift, speed of rotation and angle of stroke of a cam:
1. Cycloidal motion.
2. Simple harmonic motion.
3. Uniform velocity motion.
Which one of the following is the correct sequence of the above in the descending order of maximum velocity? 
  • a)
    3-2-1
  • b)
    1-2-3
  • c)
    2-3-1
  • d)
    3-1-2
Correct answer is option 'D'. Can you explain this answer?
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Explanation:

The descending order of maximum velocity for the given follower motions can be determined as follows:

1. Cycloidal Motion:
Cycloidal motion is a smooth and continuous motion characterized by a gradual increase and decrease in velocity throughout the stroke. The maximum velocity occurs at the midpoint of the stroke. Therefore, the maximum velocity for this motion is intermediate compared to the other two motions.

2. Simple Harmonic Motion:
Simple harmonic motion is a periodic motion characterized by a constant amplitude and a sinusoidal velocity variation. The maximum velocity occurs at the extreme positions (i.e., the beginning and end of the stroke). Therefore, the maximum velocity for this motion is higher compared to cycloidal motion.

3. Uniform Velocity Motion:
Uniform velocity motion is a constant velocity motion characterized by a constant rate of change of displacement. The velocity remains constant throughout the stroke, and there is no maximum velocity point. Therefore, the maximum velocity for this motion is the highest among the three motions.

Descending Order of Maximum Velocity:
Based on the above analysis, the correct sequence of the given follower motions in descending order of maximum velocity is:

3-1-2

- Uniform Velocity Motion (Highest maximum velocity)
- Cycloidal Motion
- Simple Harmonic Motion (Lowest maximum velocity)
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