A cockroach of mass m lies on the rim of a uniform disk of mass 7.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.210 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? (a) w = i (b) K/Ko= 1.2 rad/s This answer has no units
A cockroach of mass m lies on the rim of a uniform disk of mass 7.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.210 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/Ko of the new kinetic energy of the system to its initial kinetic energy? (a) w = i (b) K/Ko= 1.2 rad/s This answer has no units
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VIEWStep 2: Find the initial angular momentum of the system:
VIEWStep 3: Find the final angular momentum of the system:
VIEWStep 4: Calculate the final angular velocity of the insect-disc system:
VIEWStep 5: Find the initial and the final kinetic energy of the insect-disc system:
VIEWStep 6: Calculate the required ratio:
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