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Theory of Machine

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
2
1.5
0.5

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Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

1/2π
(1/2π). √(q/I)
2π. √(q/I)
2π qI

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Theory of Machine
The frictional torque transmitted in a conical pivot bearing, considering uniform wear, is

(2/3) μ W R cosecα
(3/4) μ W R cosecα
(1/2) μ W R cosecα
μ W R cosecα

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Theory of Machine
In a screw jack, the effort required to lower the load W is given by

P = W tan(α + φ)
P = W tan(α - φ)
P = W tan(φ - α)
P = W cos(α + φ)

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Theory of Machine
A disc is a spinning with an angular velocity ω rad/s about the axis of spin. The couple applied to the disc causing precession will be (where I = Mass moment of inertia of the disc, and ωP = Angular velocity of precession of the axis of spin)

(1/2). I ω ωP
Iω²
I ω ωP
(1/2).Iω²

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Theory of Machine
The mechanism in which two are turning pairs and two are sliding pairs, is called a

Double slider crank chain
Elliptical trammel
All of these
Scotch yoke mechanism

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