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Theory of Machine

Theory of Machine
In its simplest form, a cam mechanism consists of following number of links

1
3
2
4

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Theory of Machine
The acceleration of a flat-faced follower when it has contact with the flank of a circular arc cam, is given by

ω² (R - r₁) sinθ
ω² R cosθ
ω² r₁ sinθ
ω² (R - r₁) cosθ

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Theory of Machine
The condition for correct steering of a Davis steering gear is (where α = Angle of inclination of the links to the vertical)

sinα = b/c
cotα = c/2b
cosα = c/b
tanα = c/2b

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

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

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Theory of Machine
In under damped vibrating system, if x₁ and x₂ are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to

x₁/x₂
log(x₁.x₂)
log(x₁/x₂)
loge(x₁/x₂)

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Theory of Machine
The two parallel and coplanar shafts are connected by gears having teeth parallel to the axis of the shaft. This arrangement is known as

Helical gearing
Bevel gearing
Spur gearing
Spiral gearing

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