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Theory of Machine

Theory of Machine
With single Hooke's joint it is possible to connect two shafts, the axes of which have an angular misalignment up to

30°
20°
40°
10°

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Theory of Machine
In order to double the period of a simple pendulum, the length of the string should be

Quadrupled
Doubled
None of these
Halved

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Theory of Machine
The equation of motion for a single degree of freedom system with viscous damping is 4(dx²/dt²) + 9(dx/dt) + 16x. The damping ratio of the system is

44082
44090
9/128
30195

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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

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

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Theory of Machine
In a rigid link OA, velocity of 'A' w.r.t. 'O' will be

Along AO
Parallel to OA
Perpendicular to OA
At 45° to OA

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Theory of Machine
In a simple harmonic motion, the velocity vector with respect to displacement vector

Leads by 180°
Leads by 90°
Lags by 90°
Is in phase

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