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Theory of Machine

Theory of Machine
Which of the following mechanism is obtained from lower pair?

Gyroscope
Valve and valve gears
Pantograph
All of these

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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.

Real
Equal
None of these
Complex conjugate

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Theory of Machine
In which of the following type of gear train the first gear and the last gear are co-axial.

Simple gear train
Reverted gear train
Compound gear train
None of the listed here

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Theory of Machine
The relation between the controlling force (Fc) and radius of rotation (r) for a stable spring controlled governor is

Fc = a/r + b
Fc = ar + b
Fc = ar
Fc = ar - b

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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

Over-damped
Under damped
Critically damped
Without vibrations

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The distance between fixed pivots of crank and followers is

Slightly less than 95 mm
Slightly more than 95 mm
45 mm
95 mm

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