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Theory of Machine

Theory of Machine
Which gear is used for connecting two coplanar and intersecting shafts?

Bevel gear
Helical gear
Spur gear
None of these

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Theory of Machine
The power of a Porter governor is equal to

[4c²/(1 + 2c)] (m + M) g.h
[c²/(1 + 2c)] (m + M) g.h
[2c²/(1 + 2c)] (m + M) g.h
[3c²/(1 + 2c)] (m + M) g.h

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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

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

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Theory of Machine
The balancing weights are introduced in planes parallel to the plane of rotation of the disturbing mass. To obtain complete dynamic balance, the minimum number of balancing weights to be introduced in different planes is

4
3
2
1

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Theory of Machine
The sense of Coriolis component is such that it

Leads the sliding velocity vector by 90°
Leads the sliding velocity vector by 180°
Is along the sliding velocity vector
Lags the sliding velocity vector by 90°

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Theory of Machine
A single degree of freedom system is given by, m × (d²x/dt²) + c × (dx/dt) + sx = F.cosω.t with usual notations. It represents

Free vibration without damping
Forced vibration without damping
Forced vibration with damping
Free vibration with damping

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