Q.

Two discs, each having moment of inertia 5 kg m2 about its central axis, both rotating in same sense with speeds 10 rad s-1 and 20 rad s-1, are brought in contact face to face with their axes of rotation coincided. The loss of kinetic energy in the process is

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a

2 J

b

5 J

c

125 J

d

0 J

answer is C.

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Detailed Solution

Applying conservation of angular momentum,     (5+5)ω′=5×10+5×20=150or  ω′=15 rads−1Initial kinetic energy                         =12×5×10×10+12×5×20×20=250+1000=1250 JFinal kinetic energy =12×10×15×15=1125 JLoss of kinetic energy =(1250−1125)J=125 J
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Two discs, each having moment of inertia 5 kg m2 about its central axis, both rotating in same sense with speeds 10 rad s-1 and 20 rad s-1, are brought in contact face to face with their axes of rotation coincided. The loss of kinetic energy in the process is