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Theory of Machine

Theory of Machine
The periodic time of one oscillation for a simple pendulum is

2π. √(l/g)
(1/2π). √(g/l)
(1/2π). √(l/g)
2π. √(g/l)

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Theory of Machine
The natural frequency of free transverse vibrations due to uniformly distributed load acting over a simply supported shaft is (where δS = Static deflection of simply supported shaft due to uniformly distributed load)

0.571/ √δS
0.5615/ √δS
0.6253/ √δS
0.4985/ √δS

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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 a screw jack, the effort required to lower the load W is given by

P = W tan(α - φ)
P = W tan(α + φ)
P = W cos(α + φ)
P = W tan(φ - α)

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Theory of Machine
In vibration isolation system, if ω/ωn < 2, then for all values of damping factor, the transmissibility will be (where ω = Angular speed of the system, ωn = Natural frequency of vibration of the system)

Equal to unity
Greater than unity
Less than unity
Zero

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Theory of Machine
The type of gears used to connect two non parallel and non intersecting shafts is

Helical gear
Spiral gear
Bevel gear
Spur gear

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