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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

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