4 Two chulciren A and B, cach having a mass of 30 kg sit at the cdge of the merry go-round which is rotating, at ca-2 rad/s Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration of k -0.6 m Q 75 m 0.75m 8-2 rad/s o Initial total angular momentum o If child A jumps off horizontally in the -n direction with a speed of 2 m/s measured with respect to the merry-go-round. determine the angular velocity of the merry-go-round o kg-m2/s rad/s kg-m2/s o Total angular momentum after child A jumped off o If child B jumps off horizontally in the +t direction with a speed of 2 m/s measured with respect to the merry-go-round, determine the angular velocity of the merry-go-round, o: rad/s
4 Two chulciren A and B, cach having a mass of 30 kg sit at the cdge of the merry go-round which is rotating, at ca-2 rad/s Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration of k -0.6 m Q 75 m 0.75m 8-2 rad/s o Initial total angular momentum o If child A jumps off horizontally in the -n direction with a speed of 2 m/s measured with respect to the merry-go-round. determine the angular velocity of the merry-go-round o kg-m2/s rad/s kg-m2/s o Total angular momentum after child A jumped off o If child B jumps off horizontally in the +t direction with a speed of 2 m/s measured with respect to the merry-go-round, determine the angular velocity of the merry-go-round, o: rad/s
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please do all the blanks on the pic.
Transcribed Image Text:4 Two chulciren A and B, cach having a mass of 30 kg sit at the cdge of the merry go-round which is rotating, at ca-2 rad/s
Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration of k -0.6 m
Q 75 m
0.75m
8-2 rad/s
o Initial total angular momentum
o If child A jumps off horizontally in the -n direction with a speed of 2 m/s measured with respect to the merry-go-round.
determine the angular velocity of the merry-go-round o
kg-m2/s
rad/s
kg-m2/s
o Total angular momentum after child A jumped off
o If child B jumps off horizontally in the +t direction with a speed of 2 m/s measured with respect to the merry-go-round,
determine the angular velocity of the merry-go-round, o:
rad/s
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Follow-up Question
Can you solve the last question? answers to the first three are
Iz1=98.55kg.m^2
w2=2.41rad/s
Hz2= 197.1kg.m^2/s
Transcribed Image Text:4. Two children, A and B, each having a mass of 30 kg sit at the edge of the merry go-round which is rotating at co2 rad/s
Excluding the children, the merry-go-round has a mass of 180 kg and a radius of gyration of k = 0.6 m.
75
0.75 m
w=2 rad/s
o Initial total angular momentum
kg-m²/s
o If child A jumps off horizontally in the -n direction with a speed of 2 m/s measured with respect to the merry-go-round.
determine the angular velocity of the merry-go-round co
rad/s
o Total angular momentum after child A jumped off
kg-m²/s
o If child B jumps off horizontally in the +t direction with a speed of 2 m/s measured with respect to the merry-go-round,
determine the angular velocity of the merry-go-round, a
rad/s
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