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Theory of Machine

Theory of Machine
Any point on a link connecting double slider crank chain will trace a

Circle
Parabola
Straight line
Ellipse

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Theory of Machine
An imaginary circle which by pure rolling action, gives the same motion as the actual gear, is called

Addendum circle
Clearance circle
Dedendum circle
Pitch circle

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Theory of Machine
The radius of a friction circle for a shaft rotating inside a bearing is (where r = Radius of shaft, and tan φ = Coefficient of friction between the shaft and bearing)

r cosφ
(r/2) cosφ
r tanφ
r sinφ

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Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

I₂/G²
G².I₂
G.I₂
I₂/G

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Theory of Machine
Pulley in a belt drive acts as

Sliding pair
Rolling pair
Turning pair
Cylindrical pair

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

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