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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If two forces each equal to ‘T’ in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be

2 T
1/2 T
√2 T
3 T

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Applied Mechanics and Graphic Statics
If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is

59°
60°
57°
58°

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Applied Mechanics and Graphic Statics
A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

18 m/sec
20 m/sec
16 m/sec
22 m/sec

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Applied Mechanics and Graphic Statics
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

P sin θ/P + Q tan θ
Q sin θ/P + Q cos θ
P sin θ/P - Q cos θ
Q sin θ/P + Q sin θ

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Applied Mechanics and Graphic Statics
Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for

Half oscillation
Complete oscillation
Quarter oscillation
None of these

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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

wl/4d
wl²/8d
wl²/4d
wl²/16d

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