The girl has a mass M. She is seated on the horse of the merry-go-round which undergoes constant rotational motion θ'. If the path of the horse is defined by r = r₀, z = b sin(θ), determine the maximum and minimum force F_z the horse exerts on her during the motion.

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Given: M = 50 kg Ꮎ = 1.5 rad ro = 4 m b = 0.5 m S