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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

43832
43835
43833
43834

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Applied Mechanics and Graphic Statics
A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

√(gra/h)
4√(gra/h)
∛(gra/h)
gra/h

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Applied Mechanics and Graphic Statics
In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively

50 and 75
75 and 75
75 and 50
50 and 50

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Applied Mechanics and Graphic Statics
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

437.5 cm⁴
137.5 cm⁴
237.5 cm⁴
337.5 cm⁴

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

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Applied Mechanics and Graphic Statics
A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be

15 m/sec
10 m/sec
20 m/sec
25 m/sec

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