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Theory of Machine

Theory of Machine
A slider crank chain consists of following numbers of turning and sliding pairs

3, 1
2, 2
1, 3
4, 0

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Theory of Machine
When the sleeve of a Porter governor moves downwards, the governor speed

Decreases
Increases
Remain unaffected
First increases and then decreases

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Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

G².I₂
G.I₂
I₂/G
I₂/G²

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

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Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the anticlockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

(ω₁ - ω₂) 2r
(ω₁ - ω₂) r
(ω₁ + ω₂) r
ω₁.ω₂.r

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Theory of Machine
The motion of a shaft in a circular hole is an example of

Successfully constrained motion
Incompletely constrained motion
Completely constrained motion
None of these

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