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

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The distance between fixed pivots of crank and followers is

95 mm
Slightly less than 95 mm
45 mm
Slightly more than 95 mm

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Theory of Machine
The Kutzbach criterion for determining the number of degrees of freedom (n) is (where l = number of links, j = number of joints and h = number of higher pairs)

n = 2(l - 1) - 2j - h
n = 2(l - 1) - 3j - h
n = 3(l - 1) - 2j - h
n = 3(l - 1) - 3j - h

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Theory of Machine
The Coriolis component of acceleration is taken into account for

Four bar chain mechanism
Quick return motion mechanism
Slider crank mechanism
All of these

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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)

l₂ = kG
l₁l₂ = kG²
l₁l₂ = kG
l₁ = kG

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Theory of Machine
In a ball bearing, ball and bearing forms a

Rolling pair
Turning pair
Screw pair
Spherical pair

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