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Theory of Machine

Theory of Machine
The relation between number of pairs (p) forming a kinematic chain and the number of links (l) is

l = 2p - 5
l = 2p - 3
l = 2p - 4
l = 2p - 2

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Theory of Machine
Tangential acceleration direction is

Opposite to angular velocity
May be any one of these
Perpendicular to angular velocity
Along the angular velocity

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Theory of Machine
The frequency of oscillation at compared to earth will be

2.44 times more
2.44 times less
6 times more
6 times less

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Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

1/2π × √(s/m)
0.4985/√δ
Any one of the listed here
1/2π × √(g/δ)

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Theory of Machine
Which of the following is a turning pair?

Piston and cylinder of a reciprocating steam engine
Ball and a socket joint
Lead screw of a lathe with nut
Shaft with collars at both ends fitted into a circular hole

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Theory of Machine
When the nature of contact between the elements of a pair is such that it can only slide relative to the other, the pair is known as a

Sliding pair
Spherical pair
Turning pair
Screw pair

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