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Theory of Machine

Theory of Machine
In full depth involute system, the smallest number of teeth in a pinion which meshes with rack without interference is

25
32
12
16

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Theory of Machine
There are six gears A, B, C, D, E and F in a compound train. The numbers of teeth in the gears are 20, 60, 30, 80, 25 and 75 respectively. The ratio of angular speeds of the driven (F) to the driver (A) of the drive is

1/24
12
1/8
4/15

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Theory of Machine
The locus of a point on a thread unwound from a cylinder will be

Cycloidal
A straight line
A circle
Involute

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Theory of Machine
The example of rolling pair is

Ball and socket joint
Bolt and nut
Ball bearing and roller bearing
Lead screw of a lathe

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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

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

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

Critically damped
Under damped
Over damped
Without vibrations

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