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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

2R/r1 + r2
3R/r1 - r2
R/r1 - r2
2R/r1

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Applied Mechanics and Graphic Statics
A string of length 90 cm is fastened to two points ‘A’ and ‘B’ at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force ‘P’ is applied to the ring such that it is in equilibrium vertically below ‘B’. The value of ‘P’ is:

100 g
60 g
80 g
40 g

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Applied Mechanics and Graphic Statics
A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

400 watts
500 watts
4000 watts
None of these

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

40 m/sec
50 m/sec
15 m/sec
25 m/sec

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Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

3t² + 2t
3t³ - 2t
6t - 2
6t + 2

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Applied Mechanics and Graphic Statics
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

0.042361111111111
0.084027777777778
0.12569444444444
0.043055555555556

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