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Engineering Mechanics

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

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

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Engineering Mechanics
When a body of mass moment of inertia 'I' (about a given axis) is rotated about that axis with an angular velocity to, then the kinetic energy of rotation is

Iω
Iω2
0.5 Iω
0.5 Iω2

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Engineering Mechanics
The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion, and y = Displacement of the particle from mean position.)

ω.√(r² - y²)
ω.√(y² - r²)
ω².√(y² - r²)
ω².√(r² - y²)

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Engineering Mechanics
The linear velocity of a body rotating at ω rad/s along a circular path of radius r is given by

ω²/r
ω².r
ω.r
ω/r

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Engineering Mechanics
The moment of inertia of a solid cone of mass ‘m’ and base radius ‘r’ about its vertical axis is

3mr²/5
3mr²/10
2mr²/5
4mr²/5

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Engineering Mechanics
Concurrent forces are those forces whose lines of action

Meet at one point
None of these
Lie on the same line
Meet on the same plane

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