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Theory of Machine

Theory of Machine
The number of links in pantograph mechanism is equal to

2
5
4
3

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Theory of Machine
A spring controlled governor is said to be unstable when the controlling force

Decreases as the radius of rotation increases
Increases as the radius of rotation decreases
Remains constant for all radii of rotation
Increases as the radius of rotation increases

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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)
log(x₁/x₂)
loge(x₁/x₂)
x₁/x₂

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Theory of Machine
In a system subjected to damped forced vibrations, the ratio of maximum displacement to the static deflection is known as

Magnification factor
Logarithmic decrement
Damping factor
Critical damping ratio

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

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Theory of Machine
Efficiency of a screw jack is given by

tan (α + φ)/tanα
tanα/tan (α - φ)
tan (α - φ)/tanα
tanα/tan (α +φ)

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