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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

4.5 cm
5.25 cm
5.5 cm
5.0 cm

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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

¾ l
l/√2
2/√3 l
½ l

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Applied Mechanics and Graphic Statics
The velocity of a moving body, is

None of these
A constant quantity
A scalar quantity
A vector quantity

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, theni. a force is required to move the body upwardsii. a force is required to move the body downwardiii. the body will not be in equilibriumThe correct answer is

both (i) and (iii)
both (i) and (ii)
only (i)
only (ii)

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Applied Mechanics and Graphic Statics
If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is

—rad/sec 10
—rad/sec 30
None of these
—rad/sec 20

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Applied Mechanics and Graphic Statics
The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

12.88 m/sec
10.88 m/sec
8.88 m/sec
5.88 m/sec

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