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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by

8.75 kg
10.5 kg
5.5 kg
6.25 kg

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Applied Mechanics and Graphic Statics
A trolley wire weighs 1 kg per metre length. The ends of the wire are attached to two poles 20 m apart. If the horizontal tension is 1000 kg, the central dip of the cable is

4 cm
2 cm
3 cm
5 cm

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Applied Mechanics and Graphic Statics
In a simple harmonic motion, the position of equilibrium is always

None of these
Stable
Unstable
Neutral

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Applied Mechanics and Graphic Statics
It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to

f
f²
1/f
1/f²

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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:

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

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Applied Mechanics and Graphic Statics
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

u² sin 2α/2g
u² tan² α/2g
u² sin² α/2g
u² cos² α/2g

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