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Theory of Machine

Theory of Machine
If ω/ωn is very high for a body vibrating under steady state vibrations, the phase angle for all values of damping factors, will tend to approach

90°
360°
0°
180°

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Theory of Machine
A kinematic chain is known as a mechanism when

None of these
One of the links is fixed
None of the links is fixed
Two of the links are fixed

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Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω² √(x² - r²)
ω² √(r² - x²)
ω √(r² - x²)
ω √(x² - r²)

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Theory of Machine
In railway axle boxes, the bearing used is

Deep groove ball bearing
Double row spherical roller bearing
Cylindrical roller bearing
Double row self aligning ball bearing

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Theory of Machine
The example of successfully constrained motion is a

Piston reciprocating inside an engine cylinder
Motion of an I.C. engine valve
All of these
Motion of the shaft between a footstep bearing

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Theory of Machine
When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)

[(r² + R²) cosφ]/2
[(r + R) cosφ]/2
[(r² + R²) sinφ]/2
[(r + R) sinφ]/2

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