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Theory of Machine

Theory of Machine
In full depth involute system, the smallest number of teeth in a pinion which meshes with rack without interference is

16
25
32
12

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Theory of Machine
The danger of breakage and vibration is maximum

Near the critical speed
None of these
Below the critical speed
Above the critical speed

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Theory of Machine
A ball and a socket forms a

Rolling pair
Spherical pair
Turning pair
Screw pair

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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. √(q/I)
1/2π
(1/2π). √(q/I)
2π qI

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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

30195
44082
9/128
44090

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Theory of Machine
When there is a reduction in amplitude over every cycle of vibration, then the body is said to have

Free vibration
Damped vibration
Forced vibration
Under damped vibration

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