Find horizontal and Vertical components of zipline, Enter your answer in terms of T, theta_ R for Right theta angle; theta_ L for Left theta angle, v_x, v_y, c, m and g.

 

Modeling the rider as a point along the cable, there are four forces in total acting on the rider. The force of gravity FG pointing down. Two tension forces T and TR parallel to the zipline cable on the left and right of the rider. Based on the system you found in the previous problem, we need to find expressions for the horizontal and vertical components of the forces acting on the zipline rider. CH FD FG R Let the angle between the horizontal and the tension forces be denoted by 0 and 0 respectively. The final force is a damping force Fp, which is parallel to the velocity vector of the rider but pointing in the opposite direction. The magnitudes of these forces are The forces horizontal and vertical forces F and Fy are nonlinear functions that depend on the unknown variables T, OR 8. These variables are determined by the shape of the cable. (To specify this system, we must next determine what these variables are.) |FG| = mg |TL| = T TR = T |FD| = c|v| Find the horizontal and vertical components of the total force acting on the rider. Enter your answer in terms of T, OL, OR, C, U, and , (where = and uy = y), m, and g. Type theta_ R for R: theta_L for ; v_x for Uz: V_y for v. F F