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Theory of Machine

Theory of Machine
Which of the following is a pendulum type governor?

None of these
Porter governor
Hartnell governor
Watt governor

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Theory of Machine
The fundamental equation for correct steering is (where φ and α = Angle through which the axis of the outer wheel and inner wheel turns respectively, c = Distance between the pivots of the front axles, and d = Wheel base)

cotφ - cotα = c/b
tanφ + cotα = b/c
cosφ - sinα = c/b
sinφ + sinα = b/c

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The distance between fixed pivots of crank and followers is

Slightly less than 95 mm
Slightly more than 95 mm
95 mm
45 mm

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Theory of Machine
A machine mounted on a single coil spring has a period of free vibration of tp . If the spring is cut into four equal parts and placed in parallel and the machine is mounted on them, then the period of free vibration of the new system will become

16 tp
4 tp
tp /16
tp /4

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Theory of Machine
Which gear train is used for higher velocity ratios in a small space?

Simple gear train
Compound gear train
Epicyclic gear train
Reverted gear train

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Theory of Machine
Tangential acceleration direction is

Along the angular velocity
May be any one of these
Perpendicular to angular velocity
Opposite to angular velocity

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