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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

5.0 cm
5.25 cm
4.5 cm
5.5 cm

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Applied Mechanics and Graphic Statics
Which of the following represents the state of neutral equilibrium?

A cube resting on one edge
A smooth cylinder lying on a curved surface
None of these
A smooth cylinder lying on a convex surface

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Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction.The speeds of the objects are:

4 m/sec and 6 m/sec
3 m/sec and 3 m/sec
3 m/sec and 2 m/sec
2 m/sec and 2 m/sec

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = β/2 - π/2
α = π/4 - β/2
α = π/2 + β/2
α = π/4 - β/2

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Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl²/16d
wl²/4d
wl/4d
wl²/8d

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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

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

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