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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

125 mm
87.5 mm
75 mm
50 mm

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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 = Ah2 / IG
IP = IG / Ah2
IP = IG - Ah2

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

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

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Engineering Mechanics
A body of weight 'W' is required to move up on rough inclined plane whose angle of inclination with the horizontal is 'α'. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

P = W (cosα + μsinα)
P = W tanα
P = W tan (α + φ)
P = W (sinα + μcosα)

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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 = Ah2 / IG
IP = IG - Ah2

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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
2mr²/5
3mr²/10
4mr²/5

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