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Engineering Mechanics

Engineering Mechanics
If the resultant of two equal forces has the same magnitude as either of the forces, then the angle between the two forces is

30°
120°
90°
60°

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

3mr²/5
2mr²/5
mr²/3
2mr²/3

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Engineering Mechanics
The acceleration of a particle moving with simple harmonic motion is __________ at the mean position.

Minimum
None of these
Zero
Maximum

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Engineering Mechanics
The periodic time of one oscillation for a simple pendulum is (where l = Length of the pendulum.)

(1/2π). √(l/g)
None of these
(1/2π). √(g/l)
2π. √(l/g)

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

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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
Iω
Iω2
0.5 Iω2

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