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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

sinφ
cosecφ
cosφ
secφ

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Theory of Machine
In order to double the period of a simple pendulum, the length of the string should be

Doubled
Halved
Quadrupled
None of these

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Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

2.22 mm
3.0 mm
2 mm
2.50 mm

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Theory of Machine
In a multiple V-belt drive, when a single belt is damaged, it is preferable to change the complete set to

Reduce slip
Reduce vibration
Ensure uniform loading
Ensure proper alignment

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Theory of Machine
If ω/ωn = 2, where co is the frequency of excitation and ωn is the natural frequency of vibrations, then the transmissibility of vibration will the

0.5
2
1
1.5

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Theory of Machine
The power from the engine to the rear axle of an automobile is transmitted by means of

Spur gears
Hooke's joint
Bevel gears
Worm and worm wheel

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