4. If a lion lies stretched out over the entire length of the branch in question 3, exerting a constantforce of F = 500 N /m over the entire length of the 1.5 m branch. It is given that I = 1 x 10-6 m*and E = 2x 10° Nm²². The boundary conditions arey(0) = 0, y'(0) = 0,y"(0) = M and y'''(0) = -2M. Use your notes to model the fourth orderdifferential equation suited to this application. Present you differential equation with y'' subject ofthe equation. Use direct integration and solve this equation in terms of M. Determine the deflection(in terms of M) at x = 1.5 m. Do not use Matlab as its solution will not be identifiable in the solutionentry.You must indicate in your solution:1. The simplified differential equation in terms of the deflection y you will be solving2. All the steps associated with direct integration3. The substitution process required for determining constants of integration4. Express the solution y and determine the deflection at x = 1.5 m 3. If only one person is on the swing in the image below, it is comparable to a point load ofF = 500 N placed at x = 0. 5 m on a wooden branch embedded at one end (cantilever). The lengthof the branch is 1.5 m. It is given that I = 1 × 10-6 m* and E = 2 × 10° Nm²². The boundaryconditions are y(0) = 0, y'(0) = 0 , y"(0) = M and y''(0) = -2M . Use your notes to model thefourth order differential equation suited to this application. Present you differential equation with y''subject of the equation. Use the Laplace transform to solve this equation in terms of M. Use yoursolution to determine the value of M at x = 0.5 m where this branch will break (deflection morethan thresh y >240). Do not use Matlab as its solution will not be identifiable in the solution entry.You must indicate in your solution:1. The simplified differential equation in terms of the deflection y you will be solving2. The simplified Laplace transform of this equation where you have made L{y} subject of theequation3. The partial fractions process if required4. The completing the square process if required5. Express the solution y as a piecewise function and determine the value of M at breakpoint whenx = 0.5 m

4. If a lion lies stretched out over the entire length of the branch in question 3, exerting a constant force of F = 500N/m over the entire length of the 1.5 m branch. It is given that I = 1x 10-6 m* and E = 2 x 10° Nm². The boundary conditions are y(0) = 0, y'(0) = 0, y"(0) = M and y'"(0) = -2M. Use your notes to model the fourth order differential equation suited to this application. Present you differential equation with y'"" subject of the equation. Use direct integration and solve this equation in terms of M. Determine the deflection (in terms of M) at x = 1.5 m. Do not use Matlab as its solution will not be identifiable in the solution entry.

4. If a lion lies stretched out over the entire length of the branch in question 3, exerting a constant force of F = 500N/m over the entire length of the 1.5 m branch. It is given that I = 1x 10-6 m* and E = 2 x 10° Nm². The boundary conditions are y(0) = 0, y'(0) = 0, y"(0) = M and y'"(0) = -2M. Use your notes to model the fourth order differential equation suited to this application. Present you differential equation with y'"" subject of the equation. Use direct integration and solve this equation in terms of M. Determine the deflection (in terms of M) at x = 1.5 m. Do not use Matlab as its solution will not be identifiable in the solution entry.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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