Answer Happy

4. (15 points) The calculation of work is an important component of many areas of engineering and science. The general formula is Work (J) = force (N) x distance (m) When both the force and the the angle between the force and the direction of movement vary as a function of position, the resulting work (W()) can be calculated from Xn W = F(x)cos[0(x)]dx Xo where F(x) is the force varying as a function of position (N), 8(x) is the position- dependent angle between the force and the direction of movement, xo and xn are the initial and final positions (m), respectively. Using MATLAB, determine the work performed if a constant force of 1 N applied at an angle 8 results in the following displacements. Use the cumtrapz function to determine the cumulative work and plot the result versus 8. x, m 0 1 2.8 3.9 3.8 3.2 60 90 1.3 120 150 180 0, deg 0 30