A loop-the-Ioop flight manoeuvre begins with a plane flying horizontally at an initial speed of 1;; . The plane then pulls into an arr: to execute the circular motion. For this question, aniline this arc to be perfectly circular with a radius r as shown in the gure below. Assume there is no drag force or thrust. but there is a lift force perpendicular to the plane's motion. You will need to deterrn ine the initial speed vi that is required to complete the manoeuvre a. Complete by HAND. Draw a free body diagram of the plane at an arbitrary position 0 in the arc. Note: arbitrary here can be any position 0. For simplicity, we will use 0'