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Theory of Machine

Theory of Machine
In order to double the period of a simple pendulum, the length of the string should be

Quadrupled
Doubled
Halved
None of these

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Theory of Machine
The factional torque for square thread at the mean radius r while raising load W is given by

T = W.r tan(φ + α)
T = W.r tanα
T = W.r tanφ
T = W.r tan(φ - α)

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Theory of Machine
When the crank is at the outer dead centre, in a reciprocating steam engine, then the acceleration of the piston will be

ω² r {n/(n + 1)}
ω² r {(n - 1)/n}
ω² r {n/(n - 1)}
ω² r {(n + 1)/n}

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Theory of Machine
The minimum force required to slide a body of weight W on a rough horizontal plane is

W cosecθ
W sinθ
W tanθ
W cosθ

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

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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 minimum length of the coupler will be

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

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