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Theory of Machine

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

3
4
1
2

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

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

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Theory of Machine
The train value of a gear train is

Always greater than unity
Reciprocal of velocity ratio of a gear train
Always less than unity
Equal to velocity ratio of a gear train

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Theory of Machine
A Hartnell governor has its controlling force (Fc) given by Fc = ar + b, where r is the radius of rotation and a and b are constants. The governor becomes isochronous when

a is +ve and b is -ve
a = 0 and b is +ve
a is +ve and b is also +ve
a is +ve and b = 0

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

Rotary engine
Universal joint
Elliptical trammels
Whitworth quick return mechanism

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Theory of Machine
In a simple harmonic motion, the velocity vector with respect to displacement vector

Is in phase
Leads by 90°
Lags by 90°
Leads by 180°

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