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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

2 J
8 J
4 J
6 J

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Applied Mechanics and Graphic Statics
The centre of gravity of a triangle is at the point where three

Perpendicular bisectors of the sides of the triangle meet
Medians of the triangle meet
None of these
Bisectors of the angle of the triangle meet

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Applied Mechanics and Graphic Statics
If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is

g/3
g/5
g/2
g/4

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Applied Mechanics and Graphic Statics
The diagram showing the point of application and line of action of forces in their plane is called

Vector diagram
Force diagram
Funicular diagram
Space diagram

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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

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

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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
πd⁴/32
πd⁴/16

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