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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is

8.75 cm
5.0 cm
7.85 cm
7.5 cm

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Applied Mechanics and Graphic Statics
The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be

45°
30°
75°
60°

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Applied Mechanics and Graphic Statics
If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

T = g(M2 + M1)/(M2 - M1)
T = g(M2 - M1)/(M1 + M2)
T = g(M1 + M2)/(M1 × M2)
T = g(M1 - M2)/(M1 + M2)

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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

3
1/3
1/4
4

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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
b⁴/12
b⁴/3

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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

π/64 (D⁴ + d⁴)
πd⁴/24
πd⁴/16
πd⁴/32

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