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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

400 J
150 J
200 J
50 J

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

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Applied Mechanics and Graphic Statics
The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

0.18845 m/sec
188.5 m/sec
1.885 m/sec
18.85 m/sec

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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

10.5 kg
8.75 kg
6.25 kg
5.5 kg

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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

89 J
464 J
64 J
400 J

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Applied Mechanics and Graphic Statics
If ‘l’ is the span of a light suspension bridge who’s each cable carries total weight (w) and the central dip is ‘y’, the horizontal pull at each support, is

wl/4y
wl
wl/8y
wl/2y

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