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Applied Mechanics and Graphic Statics

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

πd⁴/24
πd⁴/32
πd⁴/16
π/64 (D⁴ + d⁴)

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Applied Mechanics and Graphic Statics
A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:

80 g
60 g
40 g
100 g

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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

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

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Applied Mechanics and Graphic Statics
The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is

tan θ
cos θ
sin θ
cosec θ

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Applied Mechanics and Graphic Statics
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

π/32 (D⁴ - d⁴)
π/32 (D⁴ × d⁴)
π/64 (D⁴ + d⁴)
π/32 (D⁴ + d⁴)

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

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