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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

secφ
cosφ
sinφ
cosecφ

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Theory of Machine
When the nature of contact between the elements of a pair is such that one element can turn about the other by screw threads, the pair is known as a

Sliding pair
Spherical pair
Turning pair
Screw pair

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

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Theory of Machine
The frictional torque transmitted by a cone clutch is same as that of

Flat collar bearing
Truncated conical pivot bearing
Flat pivot bearing
Conical pivot bearing

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Theory of Machine
Kinematic pairs are those which have two elements that

Have surface contact
Have line contact
Permit relative motion
Are held together

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Theory of Machine
If ω/ωn = 2, where co is the frequency of excitation and ωn is the natural frequency of vibrations, then the transmissibility of vibration will the

1
1.5
2
0.5

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