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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is (i) 5000 Nm (ii) 5000 kg.m (iii) 5000 J

Both (ii) and (iii)
Both (i) and (iii)
Only (ii)
All (i), (ii) and (iii)

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Applied Mechanics and Graphic Statics
A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is

e2*
e*72
1
e4*

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Applied Mechanics and Graphic Statics
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

Proportional to A²
Proportional to 1/A²
Independent of A
Proportional to A

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Applied Mechanics and Graphic Statics
A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is

8
8TC
6 7i
4

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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

π/64 (D⁴ + d⁴)
πd⁴/32
πd⁴/16
πd⁴/24

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

25 m/sec
15 m/sec
40 m/sec
50 m/sec

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