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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The point about which combined motion of rotation and translation of a rigid body takes place, is known as

Virtual centre
Instantaneous axis
Point of rotation
Instantaneous centre

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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)
4√(gra/h)
gra/h
√(gra/h)

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Applied Mechanics and Graphic Statics
A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is

5/3
4/5
3/5
3/4

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Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

P² + Q² + 2PQ cos θ
P² + Q² + 2PQ tan θ
√(P² + Q² + 2PQ cos θ)
P² + Q² + 2P sin θ

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Applied Mechanics and Graphic Statics
Williot-Mohr diagram is used to determine deflection in

Beam only
Rigid frames only
Any type of structure
Trusses only

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Applied Mechanics and Graphic Statics
A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is
(i) 5000 Nm
(ii) 5000 kg.m
(iii) 5000 J

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

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