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Theory of Machine

Theory of Machine
When the speed of the engine fluctuates continuously above and below the mean speed, the governor is said to be

Isochronous
Hunt
Unstable
Stable

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Theory of Machine
The Klein's diagram is useful to find

Angular acceleration of various parts
Displacement of various parts
Acceleration of various parts
Velocity of various parts

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Theory of Machine
The velocity of the reciprocating roller follower when it has contact with the straight flanks of the tangent cam, is given by (where ω = Angular velocity of the cam shaft)

ω (r₁ + r₂) cosθ cosec2θ
ω (r₁ + r₂) sinθ sec2θ
ω (r₁ r₂) cosθ
ω (r₁ r₂) sinθ

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

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Theory of Machine
When one of the links of a kinematic chain is fixed, the chain is known as a

Structure
Inversion
Mechanism
Machine

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Theory of Machine
The minimum force required to slide a body of weight W on a rough horizontal plane is

W cosθ
W cosecθ
W sinθ
W tanθ

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