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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

6 Hz
3 Hz
6π Hz
3π Hz

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Theory of Machine
The frequency of oscillation of a torsional pendulum is

2πr/k. √(g/l)
r/2πk. √(l/g)
r/2πk. √(g/l)
2πk/r. √(g/l)

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Theory of Machine
The ratio of the driving tensions for V-belts is __________ times that of flat belts.(Where β = Semi-angle of the groove)

sinβ
cosecβ
cosβ
secβ

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Theory of Machine
The moment on the pulley which produces rotation is called

Moment of momentum
Inertia
Momentum
Torque

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Theory of Machine
For two governors A and B, the lift of sleeve of governor A is more than that of governor B, for a given fractional change in speed. It indicates that

None of these
Governor A is more sensitive than governor B
Governor B is more sensitive than governor A
Both governors A and B are equally sensitive

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Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

I₂/G²
G.I₂
G².I₂
I₂/G

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