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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°
360°
0°

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Theory of Machine
The Ackermann steering mechanism is preferred to the Davis type in automobiles because

The former is most rigid
The former is mathematically accurate
The former is most economical
The former is having turning pair

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Theory of Machine
The example of spherical pair is

Bolt and nut
Lead screw of a lathe
Ball bearing and roller bearing
Ball and socket joint

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Theory of Machine
Oldham’s coupling is an inversion of the kinematic chain used in

Elliptical trammels
Whitworth quick return mechanism
Universal joint
Rotary engine

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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 = 90° - φ
α = 90° + φ
α = 45° + φ/2

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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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