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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The point about which combined motion of rotation and translation of a rigid body takes place, is known as

Instantaneous centre
Instantaneous axis
Point of rotation
Virtual centre

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Applied Mechanics and Graphic Statics
For a simple pendulum, time period for a beat, is

π √(g/2l)
π √(2l/g)
π √(l/g)
π √(l/2g)

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Applied Mechanics and Graphic Statics
For a simple pendulum, the period of one oscillation is

2π √(g/2l)
2π √(l/g)
2π √(2g/l)
2π √(l/2g)

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Applied Mechanics and Graphic Statics
A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

500 watts
400 watts
4000 watts
None of these

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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

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

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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

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

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