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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

43832
43833
43835
43834

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Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl/4d
wl²/16d
wl²/8d
wl²/4d

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Applied Mechanics and Graphic Statics
A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is

0.75
0.25
1.0
0.50

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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

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

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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

πd⁴/32
πd⁴/16
πd⁴/24
π/64 (D⁴ + d⁴)

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Applied Mechanics and Graphic Statics
The centre of gravity of a homogeneous body is the point at which the whole

All listed here
Area of the surface of the body is assumed to be concentrated
Volume of the body is assumed to be concentrated
Weight of the body is assumed to be concentrated

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