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Theory of Machine

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
In automobiles the power is transmitted from gear box to differential through

Universal joint
Bevel gear
Knuckle joint
Hooke's joint

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Theory of Machine
In a reciprocating steam engine, when the crank has turned from inner dead centre through an angle θ, the angular velocity of the connecting rod is given by

ω cosθ/(n² - sin²θ)1/2
ω cosθ/(n² - cos²θ)1/2
ω sinθ/(n² - sin²θ)1/2
ω sinθ/(n² - cos²θ)1/2

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

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Theory of Machine
The power of a Porter governor is equal to

[4c²/(1 + 2c)] (m + M) g.h
[c²/(1 + 2c)] (m + M) g.h
[2c²/(1 + 2c)] (m + M) g.h
[3c²/(1 + 2c)] (m + M) g.h

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Theory of Machine
In the below figure, PC is the connecting rod and OC is the crank making an angle θ with the line of stroke PO and rotates with uniform angular velocity at ω rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO. The acceleration of the piston P with respect to the crank-pin C is given by

ω² × CO
ω² × QN
ω² × CN
ω² × NO

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