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Theory of Machine

Theory of Machine
If the number of links in a mechanism is equal to l, then the numbers of possible inversions are equal to

l - 2
l
l + 1
l - 1

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Theory of Machine
The essential condition of placing the two masses, so that the system becomes dynamically equivalent, is (where l₁ and l₂ = Distance of two masses from the centre of gravity of the body, and kG = Radius of gyration of the body)

l₁l₂ = kG
l₁l₂ = kG²
l₂ = kG
l₁ = kG

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Theory of Machine
The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

R (1 - sinθ)
R (1 - cosθ)
(R - r₁) (1 - cosθ)
(R - r₁) (1 - sinθ)

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

No node
Three nodes
One node
Two nodes

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Theory of Machine
The size of cam depends upon

Pitch circle
Base circle
Pitch curve
Prime circle

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Theory of Machine
If the rotating mass of a rim type flywheel is distributed on another rim type flywheel whose mean radius is half the mean radius of the former, then energy stored in the latter at the same speed will be

Same as the first one
Four times the first one
One and a half times the first one
One fourth of the first one

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