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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

25 N
5 N
15 N
10 N

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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
A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

n rpm
n/4 rpm
n/2 rpm
2n rpm

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Applied Mechanics and Graphic Statics
A stone is whirled in a vertical circle, the tension in the string, is maximum

When the stone is at the lowest position
When the string is horizontal
When the stone is at the highest position
At all the positions

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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

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

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Applied Mechanics and Graphic Statics
The pole distance is measured in

distance scale
time scale
mass scale
force scale

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