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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

15°
75°
30°
45°

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Applied Mechanics and Graphic Statics
One Newton force, is

10³ dynes
10⁶ dynes
10⁴ dynes
10⁵ dynes

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Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction.The speeds of the objects are:

4 m/sec and 6 m/sec
3 m/sec and 2 m/sec
2 m/sec and 2 m/sec
3 m/sec and 3 m/sec

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Applied Mechanics and Graphic Statics
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

0.084027777777778
0.043055555555556
0.042361111111111
0.12569444444444

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Applied Mechanics and Graphic Statics
For a simple pendulum, the period of one oscillation is

2π √(l/2g)
2π √(g/2l)
2π √(l/g)
2π √(2g/l)

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Applied Mechanics and Graphic Statics
If the angular distance, 0 = 2t³ ‑ 3t², the angular acceleration at t = 1 sec. is

12 rad/sec²
6 rad/sec²
4 rad/sec²
1 rad/sec²

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