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Engineering Mechanics

Engineering Mechanics
The horizontal range of a projectile (R) is given by

R = u² cos2α/g
R = u² sinα/g
R = u² cosα/g
R = u² sin2α/g

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Engineering Mechanics
The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is

2mr²/5
3mr²/5
mr²/3
2mr²/3

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Engineering Mechanics
The moment of inertia of a thin disc of mass ‘m’ and radius ‘r’, about an axis through its center of gravity and perpendicular to the plane of the disc is

mr²/4
mr²/2
mr²/6
mr²/8

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Engineering Mechanics
Mass moment of inertia of a uniform thin rod of mass M and length (l) about its mid-point and perpendicular to its length is

(1/12) Ml²
(2/3) Ml²
(3/4) Ml²
(1/3) Ml²

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Engineering Mechanics
The ideal angle of banking provided on the curves on roads depends upon

Nature of the road surface
Weight of the vehicle
(Velocity)2 of the vehicle
Coefficient of friction between the road and vehicle contact point

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Engineering Mechanics
Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is

db³/12
bd³/36
bd³/12
db³/36

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