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THEORY OF MACHINE

Theory of Machine
Whirling speed of the shaft is the speed at which

Shaft tends to vibrate vigorously in transverse direction
Torsional vibrations occur
Combination of transverse and longitudinal vibration occurs
Shaft tends to vibrate in longitudinal direction

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Theory of Machine
If the damping factor for a vibrating system is unity, then the system will be

Over damped
Critically damped
Without vibrations
Under damped

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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

Without vibrations
Over-damped
Critically damped
Under damped

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Theory of Machine
An eccentric sheave pivoted at one point rotates and transmits oscillatory motion to a link whose one end is pivoted and other end is connected to it. This mechanism has

2 links
4 links
5 links
3 links

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Theory of Machine
The periodic time of one oscillation for a simple pendulum is

2π. √(g/l)
(1/2π). √(g/l)
2π. √(l/g)
(1/2π). √(l/g)

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