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Theory of Machine

Theory of Machine
Typewriter constitutes

Mechanism
Machine
Structure
Inversion

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Theory of Machine
If the damping factor for a vibrating system is unity, then the system will be

Critically damped
Under damped
Over damped
Without vibrations

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Theory of Machine
The equation of motion for a vibrating system with viscous damping is (d²x/dt²) + (c/m). (dx/dt) + (s/m). x = 0. If the roots of this equation are real, then the system will be

Without vibrations
Under damped
Over-damped
Critically damped

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Theory of Machine
In a Hartnell governor, the lift of the sleeve is given by (where r₁ and r₂ = Max. and min. radii of rotation, x = Length of ball arm of the lever, and y = Length of sleeve arm of the lever)

(r₁ + r₂) (x/y)
(r₁ + r₂) (y/x)
(r₁ - r₂) (x/y)
(r₁ - r₂) (y/x)

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Theory of Machine
In an open pair, the two elements of a pair

Have a line or point contact when in motion
Are kept in contact by the action of external forces, when in motion
Are not held together mechanically
Have a surface contact when in motion

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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

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

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