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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be

45°
30°
60°
75°

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Applied Mechanics and Graphic Statics
A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is

40 sec
20 sec
30 sec
15 sec

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

40 m/sec
15 m/sec
25 m/sec
50 m/sec

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Applied Mechanics and Graphic Statics
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is

π/32 (D⁴ - d⁴)
π/32 (D⁴ + d⁴)
π/32 (D⁴ × d⁴)
π/64 (D⁴ + d⁴)

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Applied Mechanics and Graphic Statics
A weight of 100 kg is supported by a string whose ends are attached to pegs ‘A’ and ‘B’ at the same level shown in below figure. The tension in the string is

120 kg
750 kg
100 kg
50 kg

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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

½ l
2/√3 l
¾ l
l/√2

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