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A planar mechanism has 8 links and 10 rotary joints. The number of degrees of freedom of the mechanism, using Grubler's criterion, is
- a)0
- b)1
- c)2
- d)3
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A planar mechanism has 8 links and 10 rotary joints. The number of deg...
Whatever may be the number of links and joints Grubler's criterion applies to mechanism with only single degree freedom. Subject to the condition 3l-2j-4=0 and it satisfy this condition.
Degree of freedom is given by
Degree of freedom is given by
Most Upvoted Answer
A planar mechanism has 8 links and 10 rotary joints. The number of deg...
Solution:
Grubler's criterion is used to calculate the degree of freedom of a planar mechanism. The formula used to calculate the degree of freedom is given as:
F = 3(n-1) - 2j
where,
n = number of links in the mechanism
j = number of joints in the mechanism
F = degree of freedom of the mechanism
Given,
Number of links (n) = 8
Number of rotary joints (j) = 10
Substituting the values in the formula, we get:
F = 3(8-1) - 2(10)
F = 3(7) - 20
F = 21 - 20
F = 1
Therefore, the degree of freedom of the mechanism is 1.
Conclusion:
The degree of freedom of a planar mechanism with 8 links and 10 rotary joints is 1 according to Grubler's criterion.
Grubler's criterion is used to calculate the degree of freedom of a planar mechanism. The formula used to calculate the degree of freedom is given as:
F = 3(n-1) - 2j
where,
n = number of links in the mechanism
j = number of joints in the mechanism
F = degree of freedom of the mechanism
Given,
Number of links (n) = 8
Number of rotary joints (j) = 10
Substituting the values in the formula, we get:
F = 3(8-1) - 2(10)
F = 3(7) - 20
F = 21 - 20
F = 1
Therefore, the degree of freedom of the mechanism is 1.
Conclusion:
The degree of freedom of a planar mechanism with 8 links and 10 rotary joints is 1 according to Grubler's criterion.
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Community Answer
A planar mechanism has 8 links and 10 rotary joints. The number of deg...
Grubler's criterion : dof= 3(n-1) - 2j where n is number of links and j is number of joints. So as per the question, there are 8 links and 10 joints dof=3(8-1) - 2(10) = 3(7)-20 = 21-20 = 1 dof=1 Option B is correct.
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A planar mechanism has 8 links and 10 rotary joints. The number of degrees of freedom of the mechanism, using Grubler's criterion, is a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?
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