Child A weighs 75 lb and is sitting at rest relative to the merry go round which is rotating counterclockwise with an angular velocity 15 rev min Child B, with a weight of 65 lb, runs toward the merry go round with a speed v 12 ft sec and jumps onto the edge Compute the angular velocity of the merr...

a For the first part of the question when child B has just jumped aboard the merryg ...

Child A weighs 75 lb and is sitting at rest relative to the merry-go-round which is rotating

Question:

Child A weighs 75 lb and is sitting at rest relative to the merry-go-round which is rotating counterclockwise with an angular velocity Ω = 15 rev /min. Child B, with a weight of 65 lb, runs toward the merry-go-round with a speed v = 12 ft/sec and jumps onto the edge. Compute the angular velocity Ω′ of the merry-go-round when child B has just jumped aboard the merry-go-round and is standing in position (a). If child B moves to position (b), what is the new angular velocity of the merry goround? For simplicity, model the inertia of child A as a 20-in.-diameter uniform disk (horizontal) and model child B as a 14-in.-diameter uniform and upright cylinder. The merry-go-round itself has a centroidal mass moment of inertia I_O = 110 lb-ft-sec².