Three coplanar forces act simultaneously on a small ring lying on a smooth horizontal surface:
• Force F1: 10N directed at 30∘ above the positive x-axis.
• Force F2: 6N directed along the negative x-axis.
• Force F3: 8N directed at 120∘ measured counter-clockwise from the positive x-axis.
Answer the following parts:
a. (i) Write each force (F1, F2, F3) in unit-vector notation, stating both components with proper signs and units.
b. (ii) Determine the net force Fnet acting on the ring, giving your answer in unit-vector form.
c. (iii) Calculate the magnitude and direction of Fnet. Give the direction as an angle measured from the positive x-axis, correct to the nearest degree.
d. (iv) State, with justification based on your calculation, whether or not the ring is in mechanical equilibrium.