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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°
180°
0°
360°

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Theory of Machine
Flexible coupling is used because

It transmits shocks gradually
It is easy to engage and disengage
It is easy to disassemble
It prevents shock transmission and eliminates stress reversals

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Theory of Machine
The displacement of a flat faced follower when it has contact with the flank of a circular arc cam, is given by (where R = Radius of flank, r₁ = Minimum radius of the cam, and θ = Angle turned through by the cam)

(R - r₁) (1 - cosθ)
R (1 - sinθ)
R (1 - cosθ)
(R - r₁) (1 - sinθ)

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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 point
A straight line

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Theory of Machine
Coriolis component is encountered in

Quick return mechanism of shaper
Four bar chain mechanism
Slider crank mechanism
Both (A) and (C) above

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Theory of Machine
The efficiency of a screw jack is maximum, when (where α = Helix angle, and φ = Angle of friction)

α = 45° + φ/2
α = 45° - φ/2
α = 90° + φ
α = 90° - φ

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