An electric transmission line can become coated with ice and the increased diameter may cause vortex formation in prevailing winds. The electric line will oscillate due to the pressure variations, particularly if the frequency of the oscillations is close to one of the resonant frequencies of the wire. The oscillations of long lines may be enough to snap wires or even pull down support poles. If a wire is 347 m long (from pole to pole) and has a tension of 65.2 x 106 N and has a linear density of 3.35 kg/m, (a) find the fundamental mode, and (b) find the frequency difference between successive modes.

5submission this assignment is worth 20 points total. you are required to submit the following by next lab: 1. (3 points) determine the equation for the output angular velocity ω2 = θ˙ 2 as a function of θ1, ω1 = θ˙ 1 and α. you must show all your work to receive credit. 2. (2 points) use the result of problem#1 to plot ω2 over 0 ≤ θ1 ≤ 360deg with ω1 = 360deg/sec. do this for α = {10,30}deg. show the results on the same plot and properly label the axes, title, legend. for this you can use matlab or ms excel. 3. (3 points) determine the equation for the output angular acceleration ω˙ 2 and create a plot similar to the one in problem#2. 4. (10 points) submit plots of the results (ω2 and ω˙ 2) obtained from creo/mechanism and compare them to results of problem#2 and problem#3. note that you should do these comparisons for the two cases with α = {10,30}deg. 5. (2 points) provide a brief explanation of the results. did they match? what are the implications as misalignment angle increases?

What is the relationship between the direction of motion of the balloon and the wind currents

Two balls, each with a mass of 0.5 kg, collide on a pool table. is the law of conservation of momentum satisfied in the collision? explain why or why not