A model airplane of mass 0.820 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 62.0-m-long control wire as shown in Figure (a). The forces exerted on the airplane are shown in Figure (b): the tension in the control wire, the gravitational force, and aerodynamic lift that acts at θ = 20.0∘ inward from the vertical. Compute the tension in the wire, assuming it makes a constant angle of θ = 20.0∘ with the horizontal. N
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![A model airplane of mass m = 0.750 kg flies with a speed of v = 35.0 m/s in a horizontal circle at the end of a 60.0 -m-long control wire as shown in the figure below. a b The forces exerted on the airplane are shown in figure on the right; the tension in the control wire T→, the weight mg→, and aerodynamic lift force F→L that acts at θ = 20.0∘ to the left of the +y-axis, as shown. The tension force T― makes an angle of θ = 20.0∘ below the horizontal, as shown. Calculate (a) the tension in the control wire [20 pts] and (b) the lift force FL [5 pts].](https://www.doubtrix.com/uploads/editor/6587265815GiHjvresbU.jpg)
