Theory of Machine
The frequency of oscillation of a torsional pendulum is

2πk/r. √(g/l)
2πr/k. √(g/l)
r/2πk. √(l/g)
r/2πk. √(g/l)

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Theory of Machine
The frictional torque transmitted in a flat collar bearing, considering uniform pressure, is (where r₁ and r₂ = External and internal radii of collar respectively)

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

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Theory of Machine
The secondary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r sinθ
m.ω².r (cos 2θ/n)
m.ω².r (sin 2θ/n)
m.ω².r cosθ

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Theory of Machine
Sensitiveness of the governor is defined as the ratio of the

Difference of the maximum and minimum equilibrium speeds to the mean speed
Mean speed to the maximum equilibrium speed
Sum of the maximum and minimum equilibrium speeds to the mean speed
Mean speed to the minimum equilibrium speed

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Theory of Machine
The steering of a ship means

Rolling of a complete ship sideways
None of these
Turning of a complete ship in a curve towards right or left, while it moves forward
Movement of a complete ship up and down in vertical plane about transverse axis

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