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Engineering Mechanics

Engineering Mechanics
Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is

bh3/8
bh3/36
bh3/4
bh3/12

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Engineering Mechanics
In order to double the period of simple pendulum, the length of the string should be

None of these
Halved
Quadrupled
Doubled

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Engineering Mechanics
The C.G. of a solid hemisphere lies on the central radius 3r

At distance — from the plane base 3r
At distance — from the plane base 3r
At distance — from the plane base
At distance — from the plane base 3r

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

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

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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
When a body of mass 'm' attains a velocity 'v' from rest in time 't', then the kinetic energy of translation is

mv2
mgv2
0.5 mgv2
0.5 mv2

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