Theory of Machine
Two pulleys of radii r₁ and r₂ and at distance x apart are connected by means of an open belt drive. The length of the belt is

π (r₁ - r₂) + (r₁ + r₂)²/x + 2x
π (r₁ + r₂) + (r₁ + r₂)²/x + 2x
π (r₁ - r₂) + (r₁ - r₂)²/x + 2x
π (r₁ + r₂) + (r₁ - r₂)²/x + 2x

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Theory of Machine
In a mechanism, the fixed instantaneous centers are those centers which

Moves as the mechanism moves, but joints are of permanent nature
Vary with the configuration of the mechanism
None of the listed here
Remain in the same place for all configurations of the mechanism

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Theory of Machine
A body is said to be under forced vibrations, when

A body vibrates under the influence of external force
None of these
No external force acts on a body, after giving it an initial displacement
There is a reduction in amplitude after every cycle of vibration

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Theory of Machine
For an isochronous Hartnell governor (where r₁ and r₂ = Maximum and minimum radius of rotation of balls respectively, S₁ and S₂ = Maximum and minimum force exerted on the sleeve respectively, and M = Mass on the sleeve)

(m.g + S₁)/(m.g + S₂) = r₁/r₂
S₁/S₂ = r₁/r₂
S₂/S₁ = r₁/r₂
(m.g - S₁)/(m.g - S₂) = r₂/r₁

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