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Theory of Machine

Theory of Machine
A slider crank chain consists of following numbers of turning and sliding pairs

3, 1
1, 3
2, 2
4, 0

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Theory of Machine
When two links are connected by a pin joint, their instantaneous center lies

At the center of circle
At the center of curvature
At the pin joint
On their point of contact

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Theory of Machine
In a multiple V-belt drive, when a single belt is damaged, it is preferable to change the complete set to

Reduce slip
Reduce vibration
Ensure uniform loading
Ensure proper alignment

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Theory of Machine
The velocity of a particle moving with simple harmonic motion, at any instant is given by (where ω = Displacement of the particle from mean position)

ω √(r² - x²)
ω² √(r² - x²)
ω² √(x² - r²)
ω √(x² - r²)

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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)2r
(ω₁ - ω₂)r
(ω₁ + ω₂)r
ω₁.ω₂.r

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Theory of Machine
Kinematic pairs are those which have two elements that

Have surface contact
Have line contact
Are held together
Permit relative motion

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