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Theory of Machine

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

D₁.D₂
D₁/D₂
D₁
D₂/D₁

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Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

G².I₂
G.I₂
I₂/G
I₂/G²

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Theory of Machine
The frequency of oscillation of a torsional pendulum is

r/2πk. √(g/l)
r/2πk. √(l/g)
2πr/k. √(g/l)
2πk/r. √(g/l)

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Theory of Machine
The ratio of height of Porter governor (when length of arms and links are equal) to the height of Watt's governor is (where m = Mass of the ball, and M = Mass on the sleeve)

(m + M)/M
M/(m + M)
m/(m + M)
(m + M)/m

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Theory of Machine
With usual notations for different parameters involved, the maximum fluctuations of energy for a flywheel is given by

2E²CS
EC S/2
2ECS
2ECS²

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Theory of Machine
Which of the following is a higher pair?

Belt and pulley
Screw pair
Sliding pair
Turning pair

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