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Engineering Mechanics

Engineering Mechanics
The center of gravity of a quadrant of a circle lies along its central radius (r) at a distance of

0.7 r
0.6 r
0.8 r
0.5 r

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Engineering Mechanics
Which of the following is an equation of linear motion?(where, u and v = Initial and final velocity of the body, a = Acceleration of the body, and s = Displacement of the body in time t seconds.)

v2 = u2 + 2a.s
v = u + a.t
All of these
s = u.t + ½ a.t2

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Engineering Mechanics
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)

IP = Ah2 / IG
IP = IG - Ah2
IP = IG / Ah2
IP = IG + Ah2

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Engineering Mechanics
On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be

Upwards at its upper end
Downwards at its upper end
Perpendicular to the wall at its upper end
Zero at its upper end

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Engineering Mechanics
According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)

IP = Ah2 / IG
IP = IG - Ah2
IP = IG + Ah2
IP = IG / Ah2

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Engineering Mechanics
The moment of inertia of a solid sphere of mass ‘m’ and radius ‘r’ is

mr²
2mr²/5
mr²/2
2mr²/3

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