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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

3 Hz
6 Hz
3π Hz
6π Hz

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Theory of Machine
To connect two parallel and coplanar shafts the following type of gearing is used

Spur gear
Bevel gear
None of the listed here
Spiral gear

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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
G².I₂
I₂/G
G.I₂

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Theory of Machine
The equation of motion for a single degree of freedom system with viscous damping is 4(dx²/dt²) + 9(dx/dt) + 16x. The damping ratio of the system is

30195
44090
44082
9/128

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Theory of Machine
With usual notations for different parameters involved, the maximum fluctuations of energy for a flywheel is given by

2ECS
2ECS²
EC S/2
2E²CS

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Theory of Machine
Sense of tangential acceleration of a link

Is perpendicular to that of velocity
Could be either same or opposite to velocity
Is opposite to that of velocity
Is same as that of velocity

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