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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
At a given instant ship ‘A’ is travelling at 6 km/h due east and ship ‘B’ is travelling at 8 km/h due north. The velocity of ‘B’ relative to ‘A’ is

10 km/hrs
7 km/hrs
2 km/hrs
1 km/hrs

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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)

43833
43834
43832
43835

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Applied Mechanics and Graphic Statics
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

5.5 cm
4.5 cm
5.0 cm
5.25 cm

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Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

(a² + ab + c²)/3 (a + c)
(a² + ab + b²)/3 (a + b)
(b² + bc + c²)/3 (b + c)
None of these

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Applied Mechanics and Graphic Statics
Cartesian form of the equation of catenary is

y = c cosh x/c
y = c sinh x/c
y = c sin x/c
y = c tan x/c

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Applied Mechanics and Graphic Statics
The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

To be minimum
None of these
To be maximum
To be zero

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