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Theory of Machine

Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

secφ
cosφ
cosecφ
sinφ

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Theory of Machine
The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m).(dx/dt) + (s/m).x = 0, if the roots of the equation are __________ then the system will be under damped.

None of these
Complex conjugate
Equal
Real

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Theory of Machine
The example of successfully constrained motion is a

Piston reciprocating inside an engine cylinder
All of these
Motion of the shaft between a footstep bearing
Motion of an I.C. engine valve

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Theory of Machine
The frictional torque transmitted in a conical pivot bearing, considering uniform pressure, is (where R = Radius of shaft, and α = Semi-angle of the cone)

(2/3) μ W R cosecα
(3/4) μ W R cosecα
μ W R cosecα
(1/2) μ W R cosecα

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Theory of Machine
When the crank is at the outer dead centre, in a reciprocating steam engine, then the acceleration of the piston will be

ω² r {n/(n - 1)}
ω² r {n/(n + 1)}
ω² r {(n - 1)/n}
ω² r {(n + 1)/n}

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Theory of Machine
A watt's governor can work satisfactorily at speeds from

100 to 200 r.p.m.
80 to 100 r.p.m.
200 to 300 r.p.m.
60 to 80 r.p.m.

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