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Theory of Machine

Theory of Machine
The mechanism forms a structure, when the number of degrees of freedom (n) is equal to

1
-1
2

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Theory of Machine
When the crank is at the outer dead centre, in a reciprocating steam engine, then the acceleration of the piston will be

ω² r {n/(n + 1)}
ω² r {(n - 1)/n}
ω² r {n/(n - 1)}
ω² r {(n + 1)/n}

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Theory of Machine
Hart mechanism has

Eight links
Six links
Four links
Twelve links

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Theory of Machine
Shaft revolving in a bearing is the following type of pair

Lower pair
Spherical pair
Higher pair
Cylindrical pair

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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)

l₁ = kG
l₂ = kG
l₁l₂ = kG²
l₁l₂ = kG

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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 - 1
l
l + 1
l - 2

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