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Theory of Machine

Theory of Machine
Any point on a link connecting double slider crank chain will trace a

Straight line
Ellipse
Parabola
Circle

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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
When the crank is at the inner dead center, in a reciprocating steam engine, then the acceleration of the piston will be

ω²r. (n - 1)/n
ω²r. (n + 1)/n
ω²r. n/(n + 1)
ω²r. n/(n - 1)

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Theory of Machine
If ‘D₁’ and ‘D₂’ be the diameters of driver and driven pulleys, then belt speed is proportional to

D₁/D₂
D₂/D₁
D₁.D₂
D₁

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Theory of Machine
Which of the following has sliding motion?

Crank
Crank pin
Connecting rod
Cross-head

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Theory of Machine
A shaft has an attached disc at the centre of its length. The disc has its centre of gravity located at a distance of 2 mm from the axis of the shaft. When the shaft is allowed to vibrate in its natural bow-shaped mode, it has a frequency of vibration of 10 rad/s. When the shaft is rotated at 300 r.p.m., it will whirl with a radius of

2 mm
3.0 mm
2.22 mm
2.50 mm

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