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Engineering Mechanics

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

2mr²/5
mr²/3
2mr²/3
3mr²/5

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Engineering Mechanics
The impact between two lead spheres is approximately equal to an __________ impact.

Inelastic
None of these
Elastic
Solid

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Engineering Mechanics
The time of flight (t) of a projectile on an upward inclined plane is(where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

t = 2u sin (α - β)/g cos β
t = g cos β/2u sin (α - β)
t = 2u sin (α + β)/g cos β
t = g cos β/2u sin (α + β)

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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

0.5 Iω
0.5 Iω2
Iω
Iω2

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Engineering Mechanics
The moment of inertia of a square of side a about its diagonal is

a⁴/12
a³/12
a²/8
a⁴/16

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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

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

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