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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The velocity ratio of the differential wheel and axle is

2R/r1 + r2
3R/r1 - r2
2R/r1
R/r1 - r2

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Applied Mechanics and Graphic Statics
A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length

Must be decreased
Is not changed but weight of the bob is increased
Is not changed but weight of the bob is decreased
Must be increased

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Applied Mechanics and Graphic Statics
A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

30 m/sec
50 m/sec
20 m/sec
40 m/sec

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Applied Mechanics and Graphic Statics
If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is

Maximum
None of these
Minimum
Zero

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/3) × [(2b + a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]

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Applied Mechanics and Graphic Statics
If two forces are in equilibrium, then the forces must(i) Be equal in magnitude(ii) Be opposite in sense(iii) Act along the same line

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

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