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In a crank and slotted lever quick return motion mechanism, the distance between the fixed centres is 200 mm. the lengths of the driving crank and the slotted bar are 100 mm and 500 mm, respectively. The length of the cutting stroke is.
  • a)
    100 mm
  • b)
    300 mm
  • c)
    500 mm
  • d)
    700 mm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a crank and slotted lever quick return motion mechanism, the dista...
Stroke = 2(Length of slotted bar) x Length of crank) / (Length CR)
= 2 x 500 x 100 / 200
= 500 mm
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Most Upvoted Answer
In a crank and slotted lever quick return motion mechanism, the dista...
To determine the length of the cutting stroke in a crank and slotted lever quick return motion mechanism, we need to analyze the geometry of the mechanism and apply the necessary equations.

Given data:
- Distance between fixed centers: 200 mm
- Length of driving crank (radius of crank circle): 100 mm
- Length of slotted bar (distance between the centers of the crank and slotted bar): 500 mm

Let's break down the solution into the following steps:

1. Understanding the mechanism:
- A crank and slotted lever mechanism consists of a crank, a slotted bar, and a connecting rod.
- The crank rotates in a circular motion, causing the slotted bar to move back and forth.
- The slotted bar acts as a guide for the cutting tool, providing a reciprocating motion.

2. Determining the motion:
- In this mechanism, the crank rotates at a constant speed, while the slotted bar moves back and forth.
- The slotted bar travels a longer distance during the return stroke compared to the forward stroke.
- This is known as a quick return motion, where the cutting stroke is shorter and faster than the return stroke.

3. Applying the equations:
- The length of the cutting stroke can be determined using the following equation:
Cutting stroke = 2 × (Radius of crank circle) - Length of slotted bar

- Substituting the given values into the equation:
Cutting stroke = 2 × 100 mm - 500 mm
Cutting stroke = 200 mm - 500 mm
Cutting stroke = -300 mm

4. Interpreting the result:
- The negative value obtained for the cutting stroke indicates that the direction of the cutting stroke is opposite to the desired direction.
- To obtain the correct result, we need to consider the absolute value of the cutting stroke:
Cutting stroke = |-300 mm| = 300 mm

Therefore, the correct answer is option 'b) 300 mm'. The length of the cutting stroke in the crank and slotted lever quick return motion mechanism is 300 mm.
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In a crank and slotted lever quick return motion mechanism, the distance between the fixed centres is 200 mm. the lengths of the driving crank and the slotted bar are 100 mm and 500 mm, respectively. The length of the cutting stroke is.a)100 mmb)300 mmc)500 mmd)700 mmCorrect answer is option 'C'. Can you explain this answer?
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In a crank and slotted lever quick return motion mechanism, the distance between the fixed centres is 200 mm. the lengths of the driving crank and the slotted bar are 100 mm and 500 mm, respectively. The length of the cutting stroke is.a)100 mmb)300 mmc)500 mmd)700 mmCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about In a crank and slotted lever quick return motion mechanism, the distance between the fixed centres is 200 mm. the lengths of the driving crank and the slotted bar are 100 mm and 500 mm, respectively. The length of the cutting stroke is.a)100 mmb)300 mmc)500 mmd)700 mmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a crank and slotted lever quick return motion mechanism, the distance between the fixed centres is 200 mm. the lengths of the driving crank and the slotted bar are 100 mm and 500 mm, respectively. The length of the cutting stroke is.a)100 mmb)300 mmc)500 mmd)700 mmCorrect answer is option 'C'. Can you explain this answer?.
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