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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

πd⁴/32
πd⁴/24
π/64 (D⁴ + d⁴)
πd⁴/16

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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 wall ii. 1.732 m from the wall iii. 1.0 m above the floor iv. 1.732 m above the floor The correct answer is

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

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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

30°
75°
60°
45°

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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:

100 g
80 g
40 g
60 g

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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
A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be

0.01 m/sec
1.00 m/sec
0.05 m/sec
1.5 m/see

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