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The number of degree of freedom of a planar linkage with 8 links and 9 simple revolute joint is
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The number of degree of freedom of a planar linkage with 8 links and 9...
Given l= 8, j= 9
We know that, Degree of freedom,
n =3(l − 1)−2j = 3(8 − 1)−2 x 9 = 3.
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The number of degree of freedom of a planar linkage with 8 links and 9...
The degree of freedom of a planar linkage refers to the number of independent motions or variables that the linkage system can possess. In other words, it represents the number of independent ways in which the linkage system can move or change its configuration.
A planar linkage is a mechanism consisting of a series of interconnected links, where each link is connected to another by a joint that allows relative motion between the links. In this case, we have a planar linkage with 8 links and 9 simple revolute joints.
To determine the degree of freedom of this planar linkage, we can use the Gruebler's equation, which states:
F = 3(n - 1) - 2j - h
Where:
F = degree of freedom
n = number of links
j = number of simple revolute joints
h = number of higher pair joints (such as prismatic or cylindrical joints)
In our case, we have:
n = 8 (number of links)
j = 9 (number of simple revolute joints)
h = 0 (since there are no higher pair joints)
By substituting these values into the equation, we can calculate the degree of freedom as follows:
F = 3(8 - 1) - 2(9) - 0
F = 3(7) - 2(9)
F = 21 - 18
F = 3
Therefore, the degree of freedom of this planar linkage is 3. This means that the linkage can move or change its configuration independently in three different ways.
A planar linkage is a mechanism consisting of a series of interconnected links, where each link is connected to another by a joint that allows relative motion between the links. In this case, we have a planar linkage with 8 links and 9 simple revolute joints.
To determine the degree of freedom of this planar linkage, we can use the Gruebler's equation, which states:
F = 3(n - 1) - 2j - h
Where:
F = degree of freedom
n = number of links
j = number of simple revolute joints
h = number of higher pair joints (such as prismatic or cylindrical joints)
In our case, we have:
n = 8 (number of links)
j = 9 (number of simple revolute joints)
h = 0 (since there are no higher pair joints)
By substituting these values into the equation, we can calculate the degree of freedom as follows:
F = 3(8 - 1) - 2(9) - 0
F = 3(7) - 2(9)
F = 21 - 18
F = 3
Therefore, the degree of freedom of this planar linkage is 3. This means that the linkage can move or change its configuration independently in three different ways.
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Community Answer
The number of degree of freedom of a planar linkage with 8 links and 9...
DOF = 3(l-1)-2j-h (l=8,j=9,h=0) =21-18 =3
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The number of degree of freedom of a planar linkage with 8 links and 9 simple revolute joint isa)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?
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The number of degree of freedom of a planar linkage with 8 links and 9 simple revolute joint isa)1b)2c)3d)4Correct answer is option 'C'. 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 number of degree of freedom of a planar linkage with 8 links and 9 simple revolute joint isa)1b)2c)3d)4Correct answer is option 'C'. 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 number of degree of freedom of a planar linkage with 8 links and 9 simple revolute joint isa)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?.
The number of degree of freedom of a planar linkage with 8 links and 9 simple revolute joint isa)1b)2c)3d)4Correct answer is option 'C'. 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 number of degree of freedom of a planar linkage with 8 links and 9 simple revolute joint isa)1b)2c)3d)4Correct answer is option 'C'. 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 number of degree of freedom of a planar linkage with 8 links and 9 simple revolute joint isa)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?.
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