please assist with the below two questions 3. Ir only one person is on the swwing 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 lengthor the branch is 1.5 m. It is given that I =1× 10-6 m* and E = 2× 10° Nm-2. The boundaryconditions are y(0) = 0, y' (0) = 0, y''(0) = M and y"(0) = -2M. Use your notes to model thefourth order difrerential equation sulted to this appllcation. Present you difrerentlal 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 wilI break (deflection moreL). Do not use Matiab as Its s olution wIII not be Identifiable in the solution entry.240than thresh y 2You must Indicate in your s olution:1. Tne simplifled differentialIn term s of the deflectionwilI be soIving2. The simplifled Laplace transform of this equation where you have madeL{y} subject of theequation3. Tne partial fractions process if required4. Ine completing the square process if required5. Express the solution y as a plecewise runction and determine the value or M at breakpoint whenx = 0. 5 m 4. Ir a llon Iies stretched out over the entire length of the branch in question 3, exerting a constant4force or F = 500 N/mand E = 2x 10° Nm. Tne boundary conditions arey(0) = 0, y'(0) = 0, y"(0) = M and y'"(0) = -2M. Use your notes to model the fourth orderover the entire length or the 1.5 m branch. It is given that I = 1 x 10-6 m*differential equation s ulted to this application. Present you dirrerential equation with y subject ofthe equation. Use direct integration and solve this equation in terms or M. Determine the derlection(in terms of M) at X = 1.5 m. Do not use Matiab as its solution wIll not be identiriable in the solutionentry.You must indicate in your solution:1. Ine simplified dirrerential equation in terms of the deflection y you wiIi be solving2. Aii the steps asSOciated vwith direct Integration3. Tne substitution process required ror determining constants of integration4. Express the solution y and determine the deflection at X = 1.5 m...

3. Ir only one person is on the swing in tne image below, it is comparable to a point load or F = 500 N piaced at X= 0.5 m on a wooden branch embedded at one end (cantilever). Tne lengtn or the branch is 1.5 m. It is given that I = 1x 10-6 m* and E = 2× 10° Nm2. Tne boundary conditions are y(0) = 0, y'(0) = 0,y"(0) = M and y''(0) = -2M . Use your notes to model the rourth order dirrerential equation suited to this application. Present you dirrerential equation with y" subject or the equation. Use the Laplace transrorm to solve this equation in terms or M. Use your solution to determine the value or M at X = 0.5 m where this branch will break (derlection more L ). Do not use Matiab as its solution will not be identiriable in the solution entry. 240 than thresh y 2

3. Ir only one person is on the swing in tne image below, it is comparable to a point load or F = 500 N piaced at X= 0.5 m on a wooden branch embedded at one end (cantilever). Tne lengtn or the branch is 1.5 m. It is given that I = 1x 10-6 m* and E = 2× 10° Nm2. Tne boundary conditions are y(0) = 0, y'(0) = 0,y"(0) = M and y''(0) = -2M . Use your notes to model the rourth order dirrerential equation suited to this application. Present you dirrerential equation with y" subject or the equation. Use the Laplace transrorm to solve this equation in terms or M. Use your solution to determine the value or M at X = 0.5 m where this branch will break (derlection more L ). Do not use Matiab as its solution will not be identiriable in the solution entry. 240 than thresh y 2

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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