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Theory of Machine

Theory of Machine
The number of links in pantograph mechanism is equal to

4
3
2
5

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

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

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Theory of Machine
The critical speed of a shaft depends upon its

Mass
Mass and stiffness
Stiffness and eccentricity
Stiffness

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Theory of Machine
If ω/ωn = 2, where co is the frequency of excitation and ωn is the natural frequency of vibrations, then the transmissibility of vibration will the

1
0.5
2
1.5

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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) 2r
ω₁.ω₂.r
(ω₁ - ω₂) r

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Theory of Machine
The rotating shafts tend to vibrate violently at whirling speeds because

Bearing centre line coincides with the axis
The system is unbalanced
The shafts are rotating at very high speeds
Resonance is caused due to the heavy mass of the rotor

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