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Theory of Machine

Theory of Machine
Ackermann steering gear consists of

Turning pairs
Higher pairs
Sliding pairs
Rolling pairs

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Theory of Machine
The essential condition of placing the two masses, so that the system becomes dynamically equivalent, is (where l₁ and l₂ = Distance of two masses from the centre of gravity of the body, and kG = Radius of gyration of the body)

l₁l₂ = kG
l₁l₂ = kG²
l₂ = kG
l₁ = kG

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Theory of Machine
A torsional system with discs of moment of inertia I₁ and I₂ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to

G².I₂
I₂/G²
G.I₂
I₂/G

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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) (y/x)
(r₁ + r₂) (x/y)
(r₁ - r₂) (x/y)
(r₁ - r₂) (y/x)

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Theory of Machine
Torsional vibrations are said to occur when the particles of a body moves

In a circle about its axis
Parallel to its axis
None of these
Perpendicular to its axis

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Theory of Machine
The example of rolling pair is

Lead screw of a lathe
Bolt and nut
Ball bearing and roller bearing
Ball and socket joint

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