Theory of Machine
When there is a reduction in amplitude over every cycle of vibration, then the body is said to have

Free vibration
Under damped vibration
Forced vibration
Damped vibration

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Theory of Machine
Which of the following statement is correct for involute gears?

The pressure angle is constant throughout the teeth engagement.
The variation in centre distance of shafts increases radial force.
The interference is inherently absent.
A convex flank is always in contact with concave flank.

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Theory of Machine
The displacement of the reciprocating roller follower, when it has contact with the straight flanks of the tangent cam, is given by (where r₁ = Minimum radius of the cam, r₂ = Radius of the roller follower, and θ = Angle turned by the cam from the beginning of the follower displacement)

(r₁ + r₂) (1 + cosθ)
(r₁ + r₂) [(1 - cosθ)/cosθ]
(r₁ - r₂) (1 - cosθ)
(r₁ - r₂) [(1 - cosθ)/cosθ]

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

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