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Theory of Machine

Theory of Machine
Rectilinear motion of piston is converted into rotary by

Cross head
Gudgeon pin
Slider crank
Connecting rod

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Theory of Machine
Minimum number of teeth for involute rack and pinion arrangement for pressure angle of 20° is

30
34
20
10

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Theory of Machine
Klein's construction can be used when

Crank has uniform angular velocity and angular acceleration
Crank has a uniform angular velocity
Crank has non-uniform velocity
Crank has uniform angular acceleration

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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 anticlockwise 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
When a body is subjected to transverse vibrations, the stress induced in a body will be

Shear stress
Compressive stress
Bending stress
Tensile stress

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

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

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