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Theory of Machine

Theory of Machine
When a shaking force is transmitted through the springs, damping becomes detrimental when the ratio of its frequency to the natural frequency is greater than

0.25
2
0.5
1

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Theory of Machine
The natural frequency of free longitudinal vibrations is equal to (where m = Mass of the body, s = Stiffness of the body, and δ = Static deflection of the body)

Any one of the listed here
1/2π × √(g/δ)
1/2π × √(s/m)
0.4985/√δ

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Theory of Machine
An engine operates between temperatures of 900°Kandr2 and another engine between T2 and 400°K For both to do equal work, value of T2 will be

600°K
650°K
625°K
700°K

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Theory of Machine
The maximum value of the pressure angle in case of cam is kept as

30°
10°
14°
20°

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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

G.I₂
I₂/G²
I₂/G
G².I₂

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

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