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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?

prism
pyramid
both equally stable
None of these

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

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

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Applied Mechanics and Graphic Statics
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

5 m/sec and 0
5 and 5√3 m/sec
0 and 5 m/sec
5√3 m/sec and 0

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Applied Mechanics and Graphic Statics
According to Kennedy's theorem, if three bodies have plane motions, their instantaneous centers lie on

A point
Two straight lines
A triangle
A straight line

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

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Applied Mechanics and Graphic Statics
The units of moment of inertia of an area are

m3
kg/m2
kg/m
m4

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