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Theory of Machine

Theory of Machine
In a vibrating system, if the actual damping coefficient is 40 N/m/s and critical damping coefficient is 420 N/m/s, then logarithmic decrement is equal to

0.6
0.4
0.2
0.8

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Theory of Machine
When there is a reduction in amplitude over every cycle of vibration, then the body is said to have

Free vibration
Under damped vibration
Forced vibration
Damped vibration

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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
The transmissibility, for all values of damping factor, will be less than unity, if ω/ωn is

Less than 2
Equal to 2
Equal to 1
Greater than 2

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Theory of Machine
If the rotating mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is half the mean radius of the former, then energy stored in the latter at the same speed will be

One fourth of the first one
Same as the first one
Four times the first one
One and a half times the first one

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

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