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Engineering Mechanics

Engineering Mechanics
The centre of gravity a T-section 100 mm × 150 mm × 50 mm from its bottom is

87.5 mm
50 mm
75 mm
125 mm

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Engineering Mechanics
If a body is acted upon by a number of coplanar non-concurrent forces, it may

Move in any one direction rotating about itself
All of these
Be completely at rest
Rotate about itself without moving

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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
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

mr²/4
mr²/8
mr²/6
mr²/2

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Engineering Mechanics
The total energy possessed by a system of moving bodies

Is maximum in the start and minimum at the end
Varies from point to point
Is minimum in the start and maximum at the end
Is constant at every instant

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Engineering Mechanics
A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

MS/4
MS/5
MS/3
None of these

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