1. Use Maple to solve Problem 18, and create an animation of the solution.
Problem 18
The wind is blowing over some suspension cables on a bridge, causing a force that is approximated by the function 0.02 sin 21πt. Is resonance possible if the force in the cable is 40 000 N, the cable has a mass of 10 kg/m, and it is 15 m long?
2. Use Maple to solve Problem 19, and create an animation of the solution.
Problem 19
A circular shaft π m long is fixed at both ends. The middle of the shaft is twisted through an angle α, the remainder of the shaft through an angle proportional to the distance from the nearest end, and then the shaft is released from rest. Determine the subsequent motion expressed as θ(x,t). Problem 4 of Section 8.2 gives the appropriate wave equation.