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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

2 J
6 J
8 J
4 J

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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 a given velocity of a projectile, the range is maximum when the angle of projection is

45°
0°
30°
90°

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Applied Mechanics and Graphic Statics
Power developed by a torque, is

2πNT /60 watts
2πNT/4500 h.p
All listed here
2πNT kg m/min

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A/√2
A
A√2
A/2

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

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