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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
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

mr²/6
mr²/4
mr²/2
mr²/8

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Engineering Mechanics
Which of the following are vector quantities?

Linear displacement
Linear velocity
Linear acceleration
All of these

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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

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

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Engineering Mechanics
Mass moment of inertia of a thin rod about its one end is ___________ the mass moment of inertia of the same rod about its mid-point

Thrice
Twice
Same as
Four times

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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 Iω2
Iω
Iω2
0.5 Iω

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