# ENGR112 HW9 Matrices and Multis.pdf - Week 9 Homework Name:...

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Week 9 HomeworkENGR 112Strings and FilesName: Ziyi JianLab Time(ECampus write “ECampus”):m 4 pmNames of people you worked with:N/AWebsites you used:N/AApproximately how many hours did it take you to completethis assignment (to nearest whole number)?6By writing or typing your name below you affirm that all of the work containedherein is your own, and was not copied or copied and altered.Note: Failure to sign this page will result in a 50-point penalty. Failure to list people youworked with may result in no grade for this homework. Failure to fill out hoursapproximation will result in a 10-point penalty.
Week 9 HomeworkENGR 112Strings and FilesLearning Objectives:Making (and using) matrices to move things aroundPlotting curves in 3D using plot3Making and plotting surfaces using meshgrid and surf
Week 9 HomeworkENGR 112Strings and FilesProblem 1Compute the total mass (g) of the rocket components shown in the table below using a dotproduct.Print your answer in the command window.)50
Week 9 HomeworkENGR 112Strings and FilesProblem 2An anti-symmetric cross-ply composite laminate has two layers in which the fibers are alignedperpendicular to one another.A laminate of this type will deform into a saddle shape due toresidual thermal stresses as described by the equation? = 𝑘(?2− ?2)wherexandyare the in-plane coordinates andkis the curvature.Make a surface plotshowingthe deflection of a one-meter by one-meter square plate using -0.5 ≤ x ≤ 0.5 m and-0.5 ≤ y ≤0.5 m. Assume k=0.77. Choose a step size that captures the shape but doesn’t have too manypoints (use the same step size in x and y).a) Use theviewcommand to print four subplots as shown below, then add acolorbarto thegraph. Usehelp graph3din the command window to find some different color maps, then usecolormapto choose your favorite. Useaxis equalto show the true deformation.b) Now create a set of x and y sample points of the function using 3 sample directions in x and 4iny. Useinterp2to interpolate these sample points with the same mesh you used in part a).

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