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Engineering Mechanics

Engineering Mechanics
The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is

2mr²/3
2mr²/5
mr²/3
3mr²/5

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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 C.G. and parallel to the base, is

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

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Engineering Mechanics
If tension in the cable supporting a lift moving downwards is half the tension when it is moving upwards, the acceleration of the lift is

g/2
None of these
g/4
g/3

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Engineering Mechanics
The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction.

Greater than
None of these
Equal to
Less than

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Engineering Mechanics
Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. It the line of action of the resultant is 6 mm from any given force, the two forces are

15 N and 5 N
15 N and 15 N
20 N and 5 N
None of these

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Engineering Mechanics
The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)

1/2π. √(kG² + h²/gh)
2π. √(gh/kG² + h²)
2π. √(kG² + h²/gh)
1/2π. √(gh/kG² + h²)

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