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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is

b⁴/3
b⁴/12
b⁴/8
b³/4

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Applied Mechanics and Graphic Statics
A train weighing 196 tonnes experiences a frictional resistance of 5(11/22) per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is

5 √10 m/sec
10 √5 m/sec
5 √3 m/sec
3 √5 m/sec

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

sin (α + β)/sin (α - β)
tan (α - β)/tan (α + β)
cos (α - β)/cos (α + β)
sin (α - β)/sin (α + β)

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Applied Mechanics and Graphic Statics
A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

43864
43839
44052
43833

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Applied Mechanics and Graphic Statics
The dimensions of Gravitational Universal constant ‘G’ are

M1L3T2
M-2L3T2
M-1L2r2
M-1L3r2

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Applied Mechanics and Graphic Statics
A rope is wrapped twice around a rough pole with a coefficient of friction ‘A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is

e4*
e2*
e*72
1

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