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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is (i) 5000 Nm (ii) 5000 kg.m (iii) 5000 J

All (i), (ii) and (iii)
Only (ii)
Both (ii) and (iii)
Both (i) and (iii)

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Applied Mechanics and Graphic Statics
A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is

e4*
e2*
1
e*72

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Applied Mechanics and Graphic Statics
If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is

v = ω √(r² + y²)
v = ω √(r² - y²)
y = ω √(y - r)
v = ω √(y² - r²)

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Applied Mechanics and Graphic Statics
The torque produced by a force depends on(i) The magnitude of the force(ii) The direction of the force(iii) The point of application of the force relative to origin

Only (i)
Both (i) and (iii)
All (i), (ii) and (iii)
Both (i) and (ii)

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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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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

3 cm
2 cm
4 cm
5 cm

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