The smooth surface of the vertical cam is defined in part by the curve r = (0.2

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The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos θ + 0.3) m. If the forked rod is rotating with a constant angular velocity of θ̇ = 4 rad/s, determine the force the cam and the rod exert on the 2-kg roller when  θ = 30°. The attached spring has a stiffness k = 30 N/m and an unstretched length of 0.1 m.

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