Two identical tops spin with angular velocities 45π rad/s up and 19π rad/s down, respectively, about vertical axes on a table. The tops bump into one another and separate. After the collision, one of the tops has an angular velocity of 35π rad/s in its original direction.

Question

What is the angular velocity of the other top if the 45π rad/s top ends up with the angular velocity of 35π rad/s? (Answer: -28.3rad/s)

What is the angular velocity of the other top if the 19π rad/s top ends up with the angular velocity of 35π rad/s? (Answer: 192rad/s)

Answers are provided above. Please show all work on how to get the answers.

Answer 1

45π - 19π - 35π = -28.3rad/s

45π - 19π + 35π = 192radrad/s