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Theory of Machine

Theory of Machine
If the opposite links of a four bar linkage are equal, the links will always form a

Triangle
Rectangle
Pentagon
Parallelogram

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Theory of Machine
The natural frequency of free torsional vibrations of a shaft is equal to (where q = Torsional stiffness of the shaft, and I = Mass moment of inertia of the disc attached at the end of a shaft)

2π qI
2π. √(q/I)
1/2π
(1/2π). √(q/I)

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Theory of Machine
Which type of gearing is used in steering system of an automobile?

Rack and pinion
None of the listed here
Worm and wheel
Spiral gears

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Theory of Machine
A circle passing through the pitch point with its center at the center of cam axis is known as

Base circle
Outer circle
Prime circle
Pitch circle

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Theory of Machine
The equivalent length of a simple pendulum which gives the same frequency as a compound pendulum is

(kG² + h²)/h²
(kG² + h²)/h
h²/(kG² + h²)
h/(kG² + h²)

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Theory of Machine
A shaft has two heavy rotors mounted on it. The transverse natural frequencies, considering each of the rotor separately, are 100 Hz and 200 Hz respectively. The lowest critical speed is

12,000 r.p.m.
5,367 r.p.m.
6,000 r.p.m.
9,360 r.p.m.

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