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Theory of Machine

Theory of Machine
If ‘D₁’ and ‘D₂’ be the diameters of driver and driven pulleys, then belt speed is proportional to

D₁/D₂
D₁.D₂
D₁
D₂/D₁

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Theory of Machine
The method of direct and reverse cranks is used in engines for

The control of speed fluctuations
Kinematic analysis
Balancing of forces and couples
Vibration analysis

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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) / 2h
(S₁ + S₂) / h
(S₁ - S₂) / h

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Theory of Machine
For two governors A and B, the lift of sleeve of governor A is more than that of governor B, for a given fractional change in speed. It indicates that

None of these
Both governors A and B are equally sensitive
Governor A is more sensitive than governor B
Governor B is more sensitive than governor A

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Theory of Machine
In steady state forced vibrations, the amplitude of vibrations at resonance is __________ damping coefficient.

Independent of
Directly proportional to
Inversely proportional to
Equal to

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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 clockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

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

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