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Theory of Machine

Theory of Machine
A pulley and belt in a belt drive form a

Sliding pair
Rolling pair
Cylindrical pair
Turning pair

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Theory of Machine
The equation of free vibrations of a system is (d²x/dt²) +36 π²x, its natural frequency is

6π Hz
6 Hz
3π Hz
3 Hz

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Theory of Machine
When the axes of the first and last wheels are coaxial, then the train is known as

Compound train of wheels
Epicyclic gear train
Reverted gear train
Simple train of wheels

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Theory of Machine
The fundamental equation for correct steering is (where φ and α = Angle through which the axis of the outer wheel and inner wheel turns respectively, c = Distance between the pivots of the front axles, and d = Wheel base)

cosφ - sinα = c/b
cotφ - cotα = c/b
sinφ + sinα = b/c
tanφ + cotα = b/c

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Theory of Machine
Minimum number of teeth for involute rack and pinion arrangement for pressure angle of 20° is

10
30
34
20

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

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

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