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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

3 kgf, 4 kgf
5 kgf, 3 kgf
2 kgf, 3 kgf
4 kgf, 5 kgf

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Applied Mechanics and Graphic Statics
A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

3.14 m/sec
1.00 m/sec
6.28 m/sec
1.57 m/sec

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Applied Mechanics and Graphic Statics
A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

2E
4E
E
E/2

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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

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

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Applied Mechanics and Graphic Statics
A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

∛(gra/h)
√(gra/h)
gra/h
4√(gra/h)

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Applied Mechanics and Graphic Statics
A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is

1.25 m/sec²
0.5 m/sec²
0.75 m/sec²
1.00 m/sec²

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