The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos θ + 0.3) m. The forked rod is rotating with an angular acceleration of θ̈  = 2 rad/s², and when θ = 45°, the angular velocity is θ̇ = 6 rad/s. Determine the force the cam and the rod exert on the 2-kg roller at this instant. The attached spring has a stiffness k = 100 N/m and an unstretched length of 0.1 m.

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