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

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

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Applied Mechanics and Graphic Statics
A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

[r (π - 0.5)]/(π + 0.25)
[r (π + 0.25)]/(π - 0.5)
[r (π - 0.25)]/(π - 0.5)
[r (π + 0.25)]/(π + 0.5)

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