The smooth pin P has a mass of 80 g. It is attached to an elastic cord extending from O to P and, due to the slotted arm guide, moves along the horizontal circular path r = (0.8 sin θ) m. If the cord has a stiffness k = 30 kN/m and an unstretched length of 0.25 m, determine the force of the guide and the normal force of the circular path on the pin when θ = 60°. The guide has a constant angular velocity θ̇  = 5 rad/s.

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r P 0 = 5 rad/s