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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

30
10
20
34

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Theory of Machine
The relation between number of pairs (p) forming a kinematic chain and the number of links (l) is

l = 2p - 3
l = 2p - 4
l = 2p - 5
l = 2p - 2

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Theory of Machine
A simple spring-mass vibrating system has a natural frequency of fn. If the spring stiffness is halved and the mass is doubled, then the natural frequency will become

2 fn
8 fn
4 fn
fn/2

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Theory of Machine
When the speed of the engine fluctuates continuously above and below the mean speed, the governor is said to be

Hunt
Stable
Isochronous
Unstable

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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)

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

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Theory of Machine
The number of centers in a crank driven slider crank mechanism is

2
4
6

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