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

20 m/sec
50 m/sec
30 m/sec
40 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 + 0.25)]/(π - 0.5)
[r (π - 0.5)]/(π + 0.25)
[r (π + 0.25)]/(π + 0.5)
[r (π - 0.25)]/(π - 0.5)

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Applied Mechanics and Graphic Statics
The following statement is one of the laws of Dynamic friction

For moderate speeds the force of friction remains constant but decreases slightly with the increase of speed
All of these
The magnitude of the kinetic friction bears a constant ratio to the normal reaction between two surfaces. The ratio being slightly less than that in the case of limiting friction
The force of friction always acts in a direction opposite to that in which a body is moving

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