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Theory of Machine

Theory of Machine
Rectilinear motion of piston is converted into rotary by

Cross head
Slider crank
Gudgeon pin
Connecting rod

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

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Theory of Machine
In a Hartnell governor, the stiffness of the spring is given by (where S1 and S2 = Spring forces exerted on the sleeve at max. and min. radii of rotation, and h = Compression of the spring)

(S₁ - S₂) / 2h
(S₁ + S₂) / h
(S₁ + S₂) / 2h
(S₁ - S₂) / h

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Theory of Machine
The Coriolis component of acceleration depends upon

Both (A) and (B)
Velocity of slider
None of these
Angular velocity of the link

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Theory of Machine
The two elements of a pair are said to form a higher pair, when they

Have a line or point contact when in motion
Have a surface contact when in motion
Permit relative motion
Are kept in contact by the action of external forces, when in motion

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Theory of Machine
The magnitude of linear velocity of a point B on a link AB relative to point A is, (Where ω = Angular velocity of the link AB)

(ω × AB)²
ω × (AB)²
ω² × AB
ω × AB

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