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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 + 1
l - 2
l - 1
l

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Theory of Machine
Two systems shall be dynamically equivalent when

G. of two coincides
M.I. of two about an axis through e.g. is equal
All of these
The mass of two are same

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Theory of Machine
The relation between the controlling force (Fc) and radius of rotation (r) for a stable spring controlled governor is

Fc = a/r + b
Fc = ar + b
Fc = ar - b
Fc = ar

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Theory of Machine
A disturbing mass m₁ attached to the rotating shaft may be balanced by a single mass m₂ attached in the same plane of rotation as that of m₁, such that (where r₁ and r₂ are the radii of rotation of m₁ and m₂ respectively)

None of these
m₁ r₂ = m₂ r₁
m₁ r₁ = m₂ r₂
m₁ m₂ = r₁ r₂

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Theory of Machine
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on A. A triangle

A triangle
Two lines
A straight line
A point

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Theory of Machine
The balancing weights are introduced in planes parallel to the plane of rotation of the disturbing mass. To obtain complete dynamic balance, the minimum number of balancing weights to be introduced in different planes is

4
2
3
1

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