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Engineering Mechanics

Engineering Mechanics
The moment of inertia of a thin rod of mass 'm' and length 'l', about an axis through its centre of gravity and perpendicular to its length is

ml2/ 6
ml2/8
ml2/4
ml2/12

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

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Engineering Mechanics
The mechanical advantage of a lifting machine is the ratio of

All of these
Distance moved by effort to the distance moved by load
Output to the input
Load lifted to the effort applied

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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
For a self locking machine, the efficiency must be

Equal to 50%
Greater than 50%
1
Less than 50%

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Engineering Mechanics
On a ladder resting on smooth ground and leaning against vertical wall, the force of friction will be

Away from the wall at its upper end
Upwards at its upper end
Towards the wall at its upper end
Downwards at its upper end

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