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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The condition of equilibrium for any system of forces in a plane is

Both (A) and (B)
None of these
That resultant couple must be zero
That polygon of forces must close

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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
4
3

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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

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

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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

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

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Applied Mechanics and Graphic Statics
If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be

r/v²
ω²/r
v²/r
r/ω²

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Applied Mechanics and Graphic Statics
Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is

b⁴/8
b³/4
b⁴/3
b⁴/12

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