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Theory of Machine

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
A completely constrained motion can be transmitted with.

4 links with pin joints
2 links with pin joints
1 link with pin joints
3 links with pin joints

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Theory of Machine
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)

[(r + R) sinφ]/2
[(r + R) cosφ]/2
[(r² + R²) cosφ]/2
[(r² + R²) sinφ]/2

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Theory of Machine
The maximum or minimum value of the swaying couple is

± 2a (1 - c) m.ω².r
± c.m.ω².r
± (a/√2) (1 - c) m.ω².r
± a (1 - c) m.ω².r

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Theory of Machine
If two moving elements have surface contact in motion, such pair is known as

Rolling pair
Higher pair
Surface pair
Sliding pair

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Theory of Machine
The ratio of the maximum displacement of the forced vibration to the deflection due to the static force, is known as

Damping factor
Magnification factor
Damping coefficient
Logarithmic decrement

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