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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The C.G. of a right circular cone lies on its axis of symmetry at a height of

h/4
h/3
h/5
h/2

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(i) and (iv)
(ii) and (iii)
(i) and (iii)
(ii) and (iv)

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Applied Mechanics and Graphic Statics
A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is

80 m/sec
75 m/sec
70 m/sec
90 m/sec

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Applied Mechanics and Graphic Statics
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is

1.00 m/sec²
0.75 m/sec²
1.25 m/sec²
0.5 m/sec²

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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

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

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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

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

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