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Theory of Machine

Theory of Machine
When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to

One
π
π/2
Zero

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

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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
Damping factor
Logarithmic decrement
Critical damping ratio

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Theory of Machine
The fundamental equation for correct steering is (where φ and α = Angle through which the axis of the outer wheel and inner wheel turns respectively, c = Distance between the pivots of the front axles, and d = Wheel base)

sinφ + sinα = b/c
cotφ - cotα = c/b
tanφ + cotα = b/c
cosφ - sinα = c/b

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Theory of Machine
Two systems shall be dynamically equivalent when

The mass of two are same
G. of two coincides
All of these
M.I. of two about an axis through e.g. is equal

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Theory of Machine
When the body is suspended at the point of suspension, its periodic time and frequency will be ________ as compared to the body suspended at the point of percussion.

Same
Four times
Two times
None of these

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