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Engineering Mechanics

Engineering Mechanics
The moment of inertia of a square of side a about its diagonal is

a³/12
a⁴/12
a⁴/16
a²/8

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Engineering Mechanics
A smooth cylinder lying on a __________ is in neutral equilibrium.

None of these
Convex surface
Horizontal surface
Curved surface

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

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Engineering Mechanics
A differential pulley block has larger and smaller diameters of 100 mm and 80 mm respectively. Its velocity ratio is

10
5
40
20

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Engineering Mechanics
Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base.

Nine times
Six times
Four times
Two times

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Engineering Mechanics
The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force.

Greater than
None of these
Less than
Equal to

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