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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 ?

45°
75°
15°
30°

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

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Applied Mechanics and Graphic Statics
The shape of a suspended cable under its own weight, is

Elliptical
Circular
Parabolic
Catenary

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Applied Mechanics and Graphic Statics
The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of

11.26 km/sec, the satellite escapes the pull of the earth
All listed here
8.04 km/sec at a height of 285 km
11.11 km/sec at a height of 37,400 km

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

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/2 + β/2
α = π/4 - β/2
α = β/2 - π/2
α = π/4 - β/2

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