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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line

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

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Applied Mechanics and Graphic Statics
A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

Parabola
Ellipse
Catenary
Cycloid

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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

πd⁴/16
πd⁴/32
πd⁴/24
π/64 (D⁴ + d⁴)

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Applied Mechanics and Graphic Statics
A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be

500 tonnes at the centre
200 tonnes at the left support
200 tonnes at the right support
200 tonnes at the centre

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

1/4
1/3
3
4

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Applied Mechanics and Graphic Statics
A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

40 m/sec
20 m/sec
50 m/sec
30 m/sec

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