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The length of the links of a 4-bar linkage with revolute pairs only are p, q, r and s units. Given that p < q < r< s. Which of these iinks should be the fixed one, for obtaining a ‘double crank’ mechanism?
- a)Links of length p
- b)Links of length q
- c)Link of length r
- d)Link of length s
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The length of the links of a 4-bar linkage with revolute pairs only ar...
Without loss of generality, assume that p < q="" />< r="" />< s.="" then,="" we="" have="" three="" />
Case 1: p + q < r="" +="" />
In this case, we can form a parallelogram with sides p and q, and diagonals r and s. This means that the linkage can complete a full rotation without reaching a singularity.
Case 2: p + q = r + s
In this case, we can form a kite with sides p, q, r, and s. This means that the linkage can complete a full rotation, but there is one singularity where all four links are collinear.
Case 3: p + q > r + s
In this case, we cannot form any geometric shape with the four sides that satisfies the triangle inequality. This means that the linkage cannot complete a full rotation without reaching a singularity.
Therefore, the only case where the linkage can complete a full rotation without reaching a singularity is Case 1, where p + q < r="" +="" s.="" r="" +="" />
Case 1: p + q < r="" +="" />
In this case, we can form a parallelogram with sides p and q, and diagonals r and s. This means that the linkage can complete a full rotation without reaching a singularity.
Case 2: p + q = r + s
In this case, we can form a kite with sides p, q, r, and s. This means that the linkage can complete a full rotation, but there is one singularity where all four links are collinear.
Case 3: p + q > r + s
In this case, we cannot form any geometric shape with the four sides that satisfies the triangle inequality. This means that the linkage cannot complete a full rotation without reaching a singularity.
Therefore, the only case where the linkage can complete a full rotation without reaching a singularity is Case 1, where p + q < r="" +="" s.="" r="" +="" />
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The length of the links of a 4-bar linkage with revolute pairs only are p, q, r and s units. Given that p < q < r< s. Which of these iinks should be the fixed one, for obtaining a ‘double crank’ mechanism?a)Links of length pb)Links of length qc)Link of length rd)Link of length sCorrect answer is option 'A'. Can you explain this answer?
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The length of the links of a 4-bar linkage with revolute pairs only are p, q, r and s units. Given that p < q < r< s. Which of these iinks should be the fixed one, for obtaining a ‘double crank’ mechanism?a)Links of length pb)Links of length qc)Link of length rd)Link of length sCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The length of the links of a 4-bar linkage with revolute pairs only are p, q, r and s units. Given that p < q < r< s. Which of these iinks should be the fixed one, for obtaining a ‘double crank’ mechanism?a)Links of length pb)Links of length qc)Link of length rd)Link of length sCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of the links of a 4-bar linkage with revolute pairs only are p, q, r and s units. Given that p < q < r< s. Which of these iinks should be the fixed one, for obtaining a ‘double crank’ mechanism?a)Links of length pb)Links of length qc)Link of length rd)Link of length sCorrect answer is option 'A'. Can you explain this answer?.
The length of the links of a 4-bar linkage with revolute pairs only are p, q, r and s units. Given that p < q < r< s. Which of these iinks should be the fixed one, for obtaining a ‘double crank’ mechanism?a)Links of length pb)Links of length qc)Link of length rd)Link of length sCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The length of the links of a 4-bar linkage with revolute pairs only are p, q, r and s units. Given that p < q < r< s. Which of these iinks should be the fixed one, for obtaining a ‘double crank’ mechanism?a)Links of length pb)Links of length qc)Link of length rd)Link of length sCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of the links of a 4-bar linkage with revolute pairs only are p, q, r and s units. Given that p < q < r< s. Which of these iinks should be the fixed one, for obtaining a ‘double crank’ mechanism?a)Links of length pb)Links of length qc)Link of length rd)Link of length sCorrect answer is option 'A'. Can you explain this answer?.
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