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Theory of Machine

Theory of Machine
The relation between number of pairs (p) forming a kinematic chain and the number of links (l) is

l = 2p - 3
l = 2p - 2
l = 2p - 5
l = 2p - 4

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Theory of Machine
The efficiency of a screw jack is maximum, when (where α = Helix angle, and φ = Angle of friction)

α = 45° - φ/2
α = 90° - φ
α = 90° + φ
α = 45° + φ/2

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

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

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Theory of Machine
In a Hartnell governor, the stiffness of the spring is given by (where S1 and S2 = Spring forces exerted on the sleeve at max. and min. radii of rotation, and h = Compression of the spring)

(S₁ + S₂) / 2h
(S₁ + S₂) / h
(S₁ - S₂) / h
(S₁ - S₂) / 2h

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Theory of Machine
For an involute gear, the ratio of base circle radius and pitch circle radius is equal to

sinφ
secφ
cosecφ
cosφ

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

Spiral gear
Bevel gear
Helical gear
Spur gear

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