The transverse deflection of a exible cable or a string (as shown in the Fig. below) is governed by the equation: (1210 T10 potsI) (1:92 _ R + 2R ' where p is the distributed transverse load, T is the tension in the cable, and R is the flexural stiffness. Both ends of the cable are fixed, i.e. 10(0) 2 10(5) 2 0. Using shooting method with Runge-Kutta method of 4th order and the parameters, given below, find the deflection of the cable at the midpoint, w( L). 2 Data of the problem: I = 94 cm, T = 700 kg, p = 110 kg/cm, R = 50 )