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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is

sin θ
cos θ
cosec θ
tan θ

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Applied Mechanics and Graphic Statics
If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line

(i) and (ii)
Only (i)
(i) and (iii)
All (i), (ii) and (iii)

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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:

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

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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 20
—rad/sec 30
None of these

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Applied Mechanics and Graphic Statics
A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are

1346.3 kN and 1250 kN
1436.2 kN and 1500 kN
1346.3 kN and 1500 kN
1436.2 kN and 1250 kN

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Applied Mechanics and Graphic Statics
A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

18.0 J
12.0 J
4.5 J
9.0 J

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