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Theory of Machine

Theory of Machine
Scotch yoke mechanism is used to generate

Inversions
Square roots
Sine functions
Logarithms

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Theory of Machine
The velocity of sliding of meshing gear teeth is (Where ω₁ and ω₂ are angular velocities of meshing gears and ‘y’ is distance between point of contact and the pitch point)

(ω₁/ω₂) y
(ω₁ + ω₂)/y
(ω₁ × ω₂) y
(ω₁ + ω₂) y

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Theory of Machine
If some links are connected such that motion between them can take place in more than one direction, it is called

Incompletely constrained motion
Partially constrained motion
Successfully constrained motion
Completely constrained motion

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Theory of Machine
In a reciprocating engine, usually __________ of the reciprocating masses are balanced.

Whole
Two-third
Three-fourth
One-half

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Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

Any one of the listed here
1/2π × √(g/δ)
1/2π × √(s/m)
0.4985/√δ

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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 m₂ = r₁ r₂
m₁ r₁ = m₂ r₂

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