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

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Applied Mechanics and Graphic Statics
A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes

E
4E
E/2
2E

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Applied Mechanics and Graphic Statics
A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan"1 x, where x is (Assume g = 10 m/sec²)

43898
44079
43959
43832

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Applied Mechanics and Graphic Statics
Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is

43864
43835
43833
43895

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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

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

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Applied Mechanics and Graphic Statics
The motion of a particle moving with S.H.M. from an extremity to the other, constitutes

Two oscillations
One full oscillation
None of these
Half an oscillation

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