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Theory of Machine

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

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

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Theory of Machine
A shaft carrying two rotors at its ends will have

Three nodes
No node
One node
Two nodes

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Theory of Machine
When a shaking force is transmitted through the springs, damping becomes detrimental when the ratio of its frequency to the natural frequency is greater than

1
2
0.25
0.5

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Theory of Machine
The two elements of a pair are said to form a higher pair, when they

Permit relative motion
Have a line or point contact when in motion
Have a surface contact when in motion
Are kept in contact by the action of external forces, when in motion

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Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω² √(x² - r²)
ω² √(r² - x²)
ω √(x² - r²)
ω √(r² - x²)

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Theory of Machine
In a spring controlled governor, when the controlling force ____ as the radius of rotation increases, it is said to be a stable governor.

Increases
Decreases
None of the listed here
Remains constant

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