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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
‘μ’ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

½μ
μ
2μ
3μ

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Applied Mechanics and Graphic Statics
A cube on a smooth horizontal surface

Cannot be in stable equilibrium
Can be in any of these states
Cannot be in neutral equilibrium
Cannot be in unstable equilibrium

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

(2/3) g cos 9
(1/3) g sinB
g sin 9
(2/3) g sin 0

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Applied Mechanics and Graphic Statics
Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

30 kg
25 kg
40 kg
50 kg

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Applied Mechanics and Graphic Statics
A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be

200 tonnes at the right support
500 tonnes at the centre
200 tonnes at the centre
200 tonnes at the left support

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Applied Mechanics and Graphic Statics
The torque produced by a force depends on(i) The magnitude of the force(ii) The direction of the force(iii) The point of application of the force relative to origin

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

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