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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

πd⁴/24
π/64 (D⁴ + d⁴)
πd⁴/16
πd⁴/32

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Applied Mechanics and Graphic Statics
If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by

g2
g1
g2/g1
g1/g2

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Applied Mechanics and Graphic Statics
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

One-half of the total height above base
None of these
One-third of the total height above base
One-fourth of the total height above base

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Applied Mechanics and Graphic Statics
A train weighing 196 tonnes experiences a frictional resistance of 5(11/22) per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is

5 √10 m/sec
10 √5 m/sec
5 √3 m/sec
3 √5 m/sec

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Applied Mechanics and Graphic Statics
Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is

7.3 m/sec
9.3 m/sec
6.3 m/sec
8.3 m/sec

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Applied Mechanics and Graphic Statics
A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be

15 m/sec
10 m/sec
20 m/sec
25 m/sec

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