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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
For maximum range of a projectile, the angle of projection should be

30°
60°
45°
None of these

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Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

P cos θ/2
2P sin θ/2
P tan θ/2
2P cos θ/2

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Applied Mechanics and Graphic Statics
A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

2E
E
4E
E/2

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Applied Mechanics and Graphic Statics
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

½ sec
1.2 sec
1 sec
1.5 sec

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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
wl²/8d
wl/4d

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Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

3 kgf, 4 kgf
5 kgf, 3 kgf
2 kgf, 3 kgf
4 kgf, 5 kgf

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