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Engineering Mechanics

Engineering Mechanics
The moment of inertia of a solid cylinder of mass 'm', radius 'r' and length 'l' about the longitudinal axis or polar axis is

mr²/2
mr²/6
mr²/8
mr²/4

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Engineering Mechanics
The velocity ratio of a differential wheel and axle with 'D' as the diameter of effort wheel and d1 and d2 as the diameters of larger and smaller axles respectively, is

D/(d₁ - d₂)
D/(d₁ + d₂)
2D/(d₁ + d₂)
2D/(d₁ - d₂)

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Engineering Mechanics
If a number of forces are acting at a point, their resultant is given by

(∑V)2 + (∑H)2
(∑V)2 +(∑H)2 +2(∑V)(∑H)
√[(∑V)2 + (∑H)2]
√[(∑V)2 +(∑H)2 +2(∑V)(∑H)]

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Engineering Mechanics
The centre of percussion of the homogeneous rod of length ‘L’ suspended at the top will be

L/2
2L/3
L/3
3L/4

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Engineering Mechanics
The C.G. of a solid hemisphere lies on the central radius 3r

At distance — from the plane base
At distance — from the plane base 3r
At distance — from the plane base 3r
At distance — from the plane base 3r

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Engineering Mechanics
The equivalent length of a simple pendulum which gives the same frequency as compound pendulum is

(kG² + h²)/h
h/(kG² + h²)
h²/(kG² + h²)
(kG² + h²)/h²

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