## Question:

A child having mass M holds her legs up as shown as she swings downward from rest at ${ θ }_{ 1 }$. Her center of mass is located at point ${ G }_{ 1 }$. When she is at the bottom position θ = 0°, she suddenly lets her legs come down, shifting her center of mass to position ${ G }_{ 2 }$. Determine her speed in the upswing due to this sudden movement and the angle ${ θ }_{ 2 }$to which she swings before momentarily coming to rest. Treat the child’s body as a particle. Given: M = 50 kg , ${ r }_{ 1 }$ = 2.80 m , g = ${ 9.81 m/s }^{ 2 }$, ${ θ }_{ 1 }$= 30 deg , ${ r }_{ 2 }$ = 3 m