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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

32
12
16
25

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Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

0.4985/ √δS
0.5615/ √δS
0.571/ √δS
0.6253/ √δS

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Theory of Machine
The efficiency of a screw jack is maximum, when (where α = Helix angle, and φ = Angle of friction)

α = 45° + φ/2
α = 45° - φ/2
α = 90° - φ
α = 90° + φ

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Theory of Machine
The example of higher pair is

Gears, cams
Belt, rope and chain drives
Ball and roller bearings
All of these

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Theory of Machine
Elements of pairs held together mechanically is known as

Open pair
Rolling pair
Closed pair
Mechanical pair

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Theory of Machine
When two links are connected by a pin joint, their instantaneous center lies

At the center of circle
On their point of contact
At the pin joint
At the center of curvature

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