## Question:

A toboggan and rider, having a total mass M, enter horizontally tangent to a circular curve (${ θ }_{ 1 }$) with a velocity ${ v }_{ A }$. If the track is flat and banked at angle ${ θ }_{ 2 }$, determine the speed ${ v }_{ B }$ and the angle θ of “descent”, measured from the horizontal in a vertical x–z plane, at which the toboggan exists at B. Neglect friction in the calculation. Given: M = 150 kg , ${ θ }_{ 1 }$ = 90 deg , ${ v }_{ A }$ = 70 km/hr , ${ θ }_{ 2 }$ = 60 deg , ${ r }_{ A }$ = 60 m , ${ r }_{ B }$= 57 m , r = 55 m