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Theory of Machine

Theory of Machine
Cam size depends upon

Pitch circle
Outer circle
Prime circle
Base circle

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Theory of Machine
The two links OA and OB are connected by a pin joint at O. If the link OA turns with angular velocity ω₁ rad/s in the clockwise direction and the link OB turns with angular velocity ω₂ rad/s in the clockwise direction, then the rubbing velocity at the pin joint O is (where r = Radius of the pin at O)

(ω₁ + ω₂)r
(ω₁ - ω₂)r
ω₁.ω₂.r
(ω₁ - ω₂)2r

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Theory of Machine
Klein's construction gives a graphic construction for

Four bar chain mechanism
Velocity polygon
Slider-crank mechanism
Acceleration polygon

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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
A pantograph is a mechanism with

Higher pairs
Lower pairs
Rolling pairs
Turning pairs

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Theory of Machine
Two systems shall be dynamically equivalent when

G. of two coincides
All of these
M.I. of two about an axis through e.g. is equal
The mass of two are same

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