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Theory of Machine

Theory of Machine
Scotch yoke mechanism is used to generate

Sine functions
Inversions
Logarithms
Square roots

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

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

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Theory of Machine
The acceleration of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by

ω². (r₁ + r₂). (1 + cos² θ)
ω². (r₁ r₂). (1 - cos² θ)
ω². (r₁ - r₂). (1 - sin² θ)
ω². (r₁ + r₂). [(2 - cos² θ)/cos³ θ]

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Theory of Machine
The example of rolling pair is

Ball and socket joint
Lead screw of a lathe
Bolt and nut
Ball bearing and roller bearing

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Theory of Machine
If the rotating mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is half the mean radius of the former, then energy stored in the latter at the same speed will be

One and a half times the first one
One fourth of the first one
Four times the first one
Same as the first one

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Theory of Machine
At the nodal point in a shaft, the amplitude for torsional vibration will be

Maximum
Minimum
Infinity
Zero

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