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Theory of Machine

Theory of Machine
When the speed of the engine fluctuates continuously above and below the mean speed, the governor is said to be

Isochronous
Stable
Unstable
Hunt

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Theory of Machine
In under damped vibrating system, if x₁ and x₂ are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to

log(x₁/x₂)
x₁/x₂
log(x₁.x₂)
loge(x₁/x₂)

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Theory of Machine
The frequency of oscillation at compared to earth will be

2.44 times more
6 times more
2.44 times less
6 times less

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Theory of Machine
The critical speed of a shaft depends upon its

Mass and stiffness
Mass
Stiffness and eccentricity
Stiffness

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Theory of Machine
The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

(R - r₁) (1 - cosθ)
(R - r₁) (1 - sinθ)
R (1 - cosθ)
R (1 - sinθ)

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Theory of Machine
A simple spring-mass vibrating system has a natural frequency of fn. If the spring stiffness is halved and the mass is doubled, then the natural frequency will become

2 fn
8 fn
fn/2
4 fn

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