Questions
Two uniform circular discs are rotating independently in the same direction around their common axis passing through their centres. The moment of inertia and angular velocity of the first disc are 0.1 kg and 10 rad respectively while those for the second one are 0.2 kg and 5 rad respectively. At some instant they get stuck together and start rotating as a single system about their common axis with some angular speed. The kinetic energy of the combined system is:
detailed solution
Correct option is D
After they stuck, let they move with angular velocity ω. By conserving Angular momentumI1ω1+I2ω2=I1+I2ω ⇒ω=I1ω+I2ω2I1+I2=0.110+0.250.1+0.2=203 rad/s KE of system =12I1+I2ω2=120.1+0.22032=203JTalk to our academic expert!
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A boy stands over the centre of a horizontal platform which is rotating freely with a speed of 2 revolutions/s about a vertical axis through the centre of the platform and straight up through the boy. He holds 2 kg masses in each of his hands close to his body. The. combined moment of inertia of the system is 1 kgmetre2. The boy now stretches his arms so as to hold the masses far from his body. In this situation, the moment of inertia of the system increases to 2kgmetre2. The kinetic energy of the system in the latter case as compared with that in the previous case will
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