Particle A witn mass U$.$S kg is guided by a horizontal slotted arm along a smooth slot in a vertical plate given by the equation $y=\frac{x^2}{3},$ where $x$ and $y$ are in meters. The arm is constrained to move only vertically. When $x=1\mathrm{.}3m,$ the arm is moving upward $(+y)$ with speed $3\mathrm{.}3\frac{m}{s},$ which is decreasing at the rate $2\mathrm{.}4\frac{m}{s^2}.$ The coefficient of kinetic friction between the arm's slot and the particle is $0\mathrm{.}3.$ Assume the particle is in contact with only one side of the plate's slot and with only one side of the arm's slot at any given instant.

Find the magnitude of the total force $F_A$ of the arm on the particle at this instant.

F

N