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The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is
[2019]
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'C'. Can you explain this answer?
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The number of degrees of freedom of a planar linkage with 8 links and ...
Number of degree of freedom,
n =3(l – 1) – 2j – h
= (3 × 7) – (2 × 9) – 0 = 3
n =3(l – 1) – 2j – h
= (3 × 7) – (2 × 9) – 0 = 3
Most Upvoted Answer
The number of degrees of freedom of a planar linkage with 8 links and ...
Explanation:
In order to determine the number of degrees of freedom of a planar linkage, we need to consider the number of links and the number of joints in the linkage.
Number of Links:
The given planar linkage has 8 links.
Number of Joints:
The given planar linkage has 9 simple revolute joints.
Determination of Degrees of Freedom:
The degrees of freedom (DOF) of a planar linkage can be determined using the Gruebler's equation:
DOF = 3(n - 1) - 2j - h
Where:
n = total number of links
j = total number of revolute joints
h = total number of higher pair joints (prismatic or cylindrical joints)
In this case, the given planar linkage has only revolute joints, so h = 0.
Plugging the values into the equation:
DOF = 3(8 - 1) - 2(9) - 0
DOF = 3(7) - 18
DOF = 21 - 18
DOF = 3
Therefore, the number of degrees of freedom of the planar linkage with 8 links and 9 simple revolute joints is 3.
Conclusion:
The correct answer is option C) 3.
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Community Answer
The number of degrees of freedom of a planar linkage with 8 links and ...
Number of degree of freedom,
n =3(l – 1) – 2j – h
= (3 × 7) – (2 × 9) – 0 = 3
n =3(l – 1) – 2j – h
= (3 × 7) – (2 × 9) – 0 = 3
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The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is[2019]a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?
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The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is[2019]a)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 degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is[2019]a)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 degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is[2019]a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?.
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