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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

2P cos θ/2
P cos θ/2
P tan θ/2
2P sin θ/2

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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√2
A
A/2

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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, then i. a force is required to move the body upwards ii. a force is required to move the body downward iii. the body will not be in equilibrium The correct answer is

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

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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

4.5 J
12.0 J
9.0 J
18.0 J

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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

5.5 cm
4.5 cm
5.25 cm
5.0 cm

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Applied Mechanics and Graphic Statics
A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be

1.00 m/sec
0.05 m/sec
0.01 m/sec
1.5 m/see

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