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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

16
25
32
12

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Theory of Machine
In S.H.M., the velocity vector w.r.t. displacement vector

Lags by 90°
Are in phase
Leads by 90°
Leads by 180°

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Theory of Machine
If ‘D₁’ and ‘D₂’ be the diameters of driver and driven pulleys, then belt speed is proportional to

D₂/D₁
D₁.D₂
D₁
D₁/D₂

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Theory of Machine
Balancing of rotating and reciprocating parts of an engine is necessary when it runs at

Any one of these
Moderate speed
Slow speed
Highs peed

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Theory of Machine
A body having moment of inertia o:m2 is rotating at 210 RPM and r with another body at rest having I 40 kg m2. The resultant speed after ing will be

90 RPM
100 RPM
data are insufficient
80 RPM

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Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

2π qI
1/2π
(1/2π). √(q/I)
2π. √(q/I)

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