4. A bullet of mass m = 2 grams is moving horizontally with a speed of 500 m/s. The bullet strikes and becomes embedded in the edge of a solid disk of mass M = 3.2 kg and radius R = 0.5 m. The disk is free to rotate about its axis and it initially at rest. Compute the angular velocity (rad/s) of the disc immediately after the bullet is embedded. 500 m/s ANS. 1.2 rad/s A A' A'

1. Two children A and B, each having a mass 30kg, sit at the edge of the merry-go-round which is rotating with angular velocity @ = 2 rad/s. Excluding the children, the merry-go-round has a mass 180 kg and a radius of gyration k₂ = 0.8m. Determine the angular velocity of the merry-go-round if A jumps off horizontally in the -n direction (away from the merry-go-gound) with a speed of 3 m/s, measured with respect to the merry-go-round. After A jumps off, B then jumps off horizontally in the +t direction with a speed of 3 m/s, measured with respect to the merry-go-round - what is the merry-go-round's angular velocity now? Neglect friction and the size of each child. 1m 1m B w = 2 rad/s

Part A A horizontal uniform circular disk has a mass 2m. The disk is free to rotate about the z axis and initially at rest. A man having mass m begins to run along the edge in a circular path whose radius is approximated to be R. If he maintains a speed of vo relative to the disk, what is the angular velocity of the disk? Neglect friction. ○ VOR O 3 /(2R) ○ 2 vo/(3R) ○ vo/(3R) 0 R

Hello! Can I have the solution to this question, when the mass of m is 218kg. Both parts please.