Which one of the following is a lower pair?

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JKSSB JE Mechanical 02 Nov 2021 Shift 1 Official Paper
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  1. Ball and roller bearings 
  2. Tail stock on the lathe bed
  3. Belts and rope drives
  4. Toothed gearing 

Answer (Detailed Solution Below)

Option 2 : Tail stock on the lathe bed
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Detailed Solution

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Explanation:

Kinematic pair:

A kinematic pair or simply a pair is a joint of two links having relative motion between them.

Kinematics pair can be classified according to:

  • Nature of contact
  • Nature of relative motion
  • Nature of mechanical constraint

Kinematic pairs according to Nature of Contact:

Lower pair

Higher pair

A pair of links having surface or area contact between the members is known as a lower pair.

The contact surface of the two links is similar.

When a pair has a point or line contact between the links, it is known as a higher pair.

The contact surface of the two links is dissimilar.

E.g Nut turning on a screw, shaft rotating in a bearing,Tail stock on the lathe bed, all pairs of slider-crank mechanism, ball and socket, piston and cylinder, universal joint etc.

E.g Wheel rolling on a surface, cam and follower pair, tooth gears, ball and roller bearing, belt drive etc.


Additional Information

Kinematic pair according to nature of relative motion:

Sliding pair

When two links are so connected that one is constrained to have sliding motion relative to another.

Eg. crosshead and guide, rectangular rod in a rectangular hole in a prism.

Turning pair

When two links are so connected that one is constrained to turn or revolve about a fixed axis of another.

Eg. crankshaft turning in a bearing.

Rolling pair

Two elements of a pair are connected in such a way that one rolls over another fixed link. 

Eg. Ball and roller bearings, rolling wheel on a flat surface etc.

Screw pair

If two mating links have a turning as well as sliding motion between them, they form a screw pair. this is achieved by cutting matching threads on the two links.

Eg. the lead screw and the nut of a lathe is a screw pair and a bolt with nut

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. 

Eg. the ball and socket joint, attachment of a car mirror, pen stand, etc

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