Theory of Machine
Whirling speed of the shaft is the speed at which

Shaft tends to vibrate in longitudinal direction
Torsional vibrations occur
Combination of transverse and longitudinal vibration occurs
Shaft tends to vibrate vigorously in transverse direction

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Theory of Machine
Power of a governor is the

Work-done at the sleeve for maximum equilibrium speed
None of these
Mean force exerted at the sleeve for a given percentage change of speed
Mean force exerted at the sleeve for maximum equilibrium speed

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Theory of Machine
The frictional torque transmitted in a truncated conical pivot bearing, considering uniform pressure, is

(2/3). μ W cosecα (r₁ + r₂)
(1/2). μ W cosecα [(r₁³ - r₂³)/(r₁² - r₂²)]
(2/3). μ W cosecα [(r₁³ - r₂³)/(r₁² - r₂²)]
(1/2). μ W cosecα (r₁ + r₂)

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

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