A child having mass M holds her legs up as shown as she swings downward from rest at { θ }_{ 1 }θ1. Her center of mass is located at point { G }_{ 1 }G1. When she is at the bottom position θ = 0°, she suddenly lets her legs come down, shifting her center of mass to position { G }_{ 2 }G2. Determine her speed at the beginning of the upswing, due to this sudden change in the position of her legs. Also, determine the maximum angle to which she will swing upwards. a) Solve the problem algebraically first b) Solve the problem for m = 50kg, using the data shown in the sketch

A child having mass M holds her legs up as shown as she swings downward from rest at { θ }_{ 1 }θ1. Her center of mass is located at point { G }_{ 1 }G1. When she is at the bottom position θ = 0°, she suddenly lets her legs come down, shifting her center of mass to position { G }_{ 2 }G2. Determine her speed at the beginning of the upswing, due to this sudden change in the position of her legs. Also, determine the maximum angle to which she will swing upwards. a) Solve the problem algebraically first b) Solve the problem for m = 50kg, using the data shown in the sketch

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