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Theory of Machine

Theory of Machine
Typewriter constitutes

Structure
Machine
Inversion
Mechanism

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Theory of Machine
The example of successfully constrained motion is a

Piston reciprocating inside an engine cylinder
Motion of an I.C. engine valve
Motion of the shaft between a footstep bearing
All of these

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Theory of Machine
In under damped vibrating system, if x₁ and x₂ are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to

log(x₁/x₂)
loge(x₁/x₂)
x₁/x₂
log(x₁.x₂)

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Theory of Machine
The frictional torque transmitted in a flat pivot bearing, assuming uniform wear, is (Where μ = Coefficient of friction, W=Load over the bearing, R=Radius of bearing)

½μWR
μwr
¾μWR
²/₃ μWR

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

32
16
25
12

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Theory of Machine
The maximum efficiency of spiral gears is (where θ = Shaft angle, and φ = Friction angle)

sin (θ + φ) + 1/ cos (θ - φ) + 1
cos (θ - φ) + 1/ cos (θ + φ) + 1
cos (θ + φ) + 1/ cos (θ - φ) + 1
cos (θ - φ) + 1/ sin (θ + φ) + 1

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