Meriam, Kraige & Bolton — Kinetics of Particles: Problem 3_47

3/47 A 180-lb snowboarder has speed \( v = 15 \text{ ft/sec} \) when in the position shown on the halfpipe. Determine the normal force on his snowboard and the magnitude of his total acceleration at the instant depicted. Use a value \( \mu_k = 0.10 \) for the coefficient of kinetic friction between the snowboard and the surface. Neglect the weight of the snowboard and assume that the mass center \( G \) of the snowboarder is 3 feet from the surface of the snow.