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Applied Mechanics and Graphic Statics

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

5 cm
2 cm
3 cm
4 cm

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Applied Mechanics and Graphic Statics
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

¾ l
2/√3 l
l/√2
½ l

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Applied Mechanics and Graphic Statics
Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of

8 Newtons
5 Newtons
10 Newtons
12 Newtons

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Applied Mechanics and Graphic Statics
If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be

r/ω²
ω²/r
v²/r
r/v²

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Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

4
2
3
5

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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

1 sec
1.5 sec
1.2 sec
½ sec

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