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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
3π Hz
3 Hz
6 Hz

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Theory of Machine
Critical damping is a function of

Mass and natural frequency
Mass and damping coefficient
Mass and stiffness
Damping coefficient and natural frequency

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Theory of Machine
The type of pair formed by two elements which are so connected that one is constrained to turn or revolve about a fixed axis of another element is known as

Rolling pair
Spherical pair
Sliding pair
Turning pair

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Theory of Machine
The power from the engine to the rear axle of an automobile is transmitted by means of

Spur gears
Hooke's joint
Worm and worm wheel
Bevel gears

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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

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

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Theory of Machine
If ‘D₁’ and ‘D₂’ be the diameters of driver and driven pulleys, then belt speed is proportional to

D₁.D₂
D₁
D₁/D₂
D₂/D₁

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