Consider the following statements: I. The degree of freedom for lower kinematic pairs is always equal to one. II. A ball and socket joint has three degrees of freedom and is a higher kinematic pair. III. Oldham’s coupling mechanism has two prismatic pairs and two revolute pairs. Which of the statements given above is/are correct?

I, II and III
I only
II and III
III only

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : III only

Concept:

Oldham’s coupling mechanism:

It is the third inversion of the double slider crank chain.

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Double Slider Crank Chain consists of four pairs out of which two are turning pairs and two others are sliding pairs.
Link 1 and link 4 is sliding pair, link 1 and link 2 is turning pair, link 2 and link 3 is second turning pair, link 3 and link 4 is second sliding pair.

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Lower kinematic pairs:

If there is area contact between mating elements, the pair formed is known as lower kinematic pair.
On the basis of the degree of freedom lower pairs are divided into two groups:
Linear motion pairs: DOF = 1, Ex. P, R, H pairs.
Surface motion pairs: DOF > 1, Ex. C, G, E pairs.
Therefore, lower kinematic pairs have one or more than one DOF possible.
In a planar mechanism, each linear motion pairs will restrict two DOF(i.e. Permit only one DOF).

Spherical pair

Two elements of a pair are connected in such a way that one element (with the spherical shape) turns or swivels about the other fixed element.
e.g. the ball and socket joint, attachment of a car mirror, pen stand etc.
Spherical joint or pair has three degrees of freedom.
And due to more than one degree of freedom, it is surface motion pairs results in a lower pair.
Each revolute joint has one degree of freedom and introduces five constraints, while each spherical joint has three degrees of freedom and introduces three constraints.`

4 views Answered 2022-09-04 04:29

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