13-99. A car of a roller coaster travels along a track which for a short distance is defined by a conical spiral, r = 3 -z, 0 = -1.5z. where r and z are in meters and 0 in radians. If the angular motion 0 = 1 rad/s is always maintained, determine the r, 0, z components of reaction exerted on the car by the track at the instant z=6 m. The car and passengers have a total mass of 200 kg. Prob. 13-99

13-99. A car of a roller coaster travels along a track which for a short distance is defined by a conical spiral, r = 3 -z, 0 = -1.5z. where r and z are in meters and 0 in radians. If the angular motion 0 = 1 rad/s is always maintained, determine the r, 0, z components of reaction exerted on the car by the track at the instant z=6 m. The car and passengers have a total mass of 200 kg. Prob. 13-99