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Theory of Machine

Theory of Machine
The equation of free vibrations of a system is (d²x/dt²) +36 π²x, its natural frequency is

6π Hz
6 Hz
3π Hz
3 Hz

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

Bevel gear
None of these
Spur gear
Helical gear

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Theory of Machine
Ackermann steering gear consists of

Higher pairs
Turning pairs
Rolling pairs
Sliding pairs

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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

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

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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
2
1
3

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Theory of Machine
Torsional vibrations are said to occur when the particles of a body moves

Parallel to its axis
Perpendicular to its axis
None of these
In a circle about its axis

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