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Theory of Machine

Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

cosφ
secφ
cosecφ
sinφ

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

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

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Theory of Machine
The behaviour of gases can be fully determined by

3 laws
2 laws
4 laws
1 law

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Theory of Machine
A watt's governor can work satisfactorily at speeds from

200 to 300 r.p.m.
100 to 200 r.p.m.
60 to 80 r.p.m.
80 to 100 r.p.m.

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Theory of Machine
The centre of gravity of a coupler link in a four bar mechanism will experience

Both linear and angular acceleration
No acceleration
Only angular acceleration
Only linear acceleration

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Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω² √(x² - r²)
ω² √(r² - x²)
ω √(x² - r²)
ω √(r² - x²)

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