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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

3π Hz
6π Hz
3 Hz
6 Hz

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Theory of Machine
The gear train usually employed in clocks is a

Differential gear
Simple gear train
Reverted gear train
Sun and planet gear

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Theory of Machine
Pulley in a belt drive acts as

Sliding pair
Turning pair
Cylindrical pair
Rolling pair

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Theory of Machine
Maximum fluctuation of energy in a flywheel is equal to [where I = Mass moment of inertia of the flywheel, E = Maximum fluctuation of energy, CS = Coefficient of fluctuation of speed, and ω = Mean angular speed = (ω₁ + ω₂)/2]

I.ω².CS
All of these
2.E.CS
I.ω.(ω₁ - ω₂)

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Theory of Machine
A Hartnell governor has its controlling force (Fc) given by Fc = ar + b, where r is the radius of rotation and a and b are constants. The governor becomes isochronous when

a is +ve and b is also +ve
a = 0 and b is +ve
a is +ve and b is -ve
a is +ve and b = 0

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Theory of Machine
A shaft carrying three rotors will have

Two nodes
One node
No node
Three nodes

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