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Theory of Machine

Theory of Machine
If ω/ωn is very low for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach

180°
360°
0°
90°

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Theory of Machine
When the sleeve of a Porter governor moves downwards, the governor speed

Decreases
Increases
Remain unaffected
First increases and then decreases

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Theory of Machine
The frictional torque transmitted in a flat pivot bearing, assuming uniform wear, is (Where μ = Coefficient of friction, W=Load over the bearing, R=Radius of bearing)

¾μWR
μwr
²/₃ μWR
½μWR

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

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Theory of Machine
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on A. A triangle

A point
Two lines
A triangle
A straight line

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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 this equation are real, then the system will be

Critically damped
Without vibrations
Over-damped
Under damped

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