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Theory of Machine

Theory of Machine
The equation of free vibrations of a system is (d²x/dt²) +36 π²x, its natural frequency is

6 Hz
3π Hz
6π Hz
3 Hz

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Theory of Machine
The displacement of the D-slide valve is __________ the steam lap by a distance known as lead of the valve.

Less than
Greater than
None of these
Equal to

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Theory of Machine
A foot step bearing and rotor of a vertical turbine form examples of

Incompletely constrained motion
Successfully constrained motion
Completely constrained motion
Partially constrained motion

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Theory of Machine
A mechanism is an assemblage of

Four or more than four links
All of these
Two links
Three links

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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)

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

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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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