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Theory of Machine

Theory of Machine
A cam mechanism imparts following motion

Rotating
All of these
Oscillating
Reciprocating

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

ω²r. n/(n - 1)
ω²r. n/(n + 1)
ω²r. (n - 1)/n
ω²r. (n + 1)/n

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Theory of Machine
The Kutzbach criterion for determining the number of degrees of freedom (n) is (where l = number of links, j = number of joints and h = number of higher pairs)

n = 3(l - 1) - 3j - h
n = 2(l - 1) - 2j - h
n = 3(l - 1) - 2j - h
n = 2(l - 1) - 3j - h

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Theory of Machine
Klein's construction can be used when

Crank has a uniform angular velocity
Crank has uniform angular velocity and angular acceleration
Crank has non-uniform velocity
Crank has uniform angular acceleration

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Theory of Machine
In a screw jack, the effort required to lift the load W is given by (where α = Helix angle, and φ = Angle of friction)

P = W tan(α - φ)
P = W tan(α + φ)
P = W tan(φ - α)
P = W cos(α + φ)

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Theory of Machine
In an open pair, the two elements of a pair

Have a line or point contact when in motion
Are not held together mechanically
Have a surface contact when in motion
Are kept in contact by the action of external forces, when in motion

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