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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

400 J
464 J
64 J
89 J

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Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is √34 kg and acting at 60° is 70 kg. The forces are

√3 kg and √5 kg
2 kg and 3 kg
1 kg and 4 kg
3 kg and 5 kg

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/3) × [(2b + a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

tan (α - β)/tan (α + β)
sin (α - β)/sin (α + β)
cos (α - β)/cos (α + β)
sin (α + β)/sin (α - β)

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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

2 cm
5 cm
3 cm
4 cm

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Applied Mechanics and Graphic Statics
A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

4.5 J
12.0 J
9.0 J
18.0 J

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