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Engineering Mechanics

Engineering Mechanics
The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

β/2
60° + β/2
45° + β/2
30° + β/2

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Engineering Mechanics
If u₁ and u₂ are the velocities of two moving bodies in the same direction before impact and v₁ and v₂ are their velocities after impact, then coefficient of restitution is given by

(u₂ + u₁)/(v₂ + v₁)
(v₂ - v₁)/(u₁ - u₂)
(v₁ - v₂)/(u₁ - u₂)
(u₁ - u₂)/(v₁ - v₂)

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Engineering Mechanics
A smooth cylinder lying on its convex surface remains in __________ equilibrium.

Unstable
None of these
Stable
Neutral

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Engineering Mechanics
The moment of inertia of a square of side (a) about an axis through its center of gravity is

a4/36
a4/4
a4/12
a4/8

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

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

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

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