If only one person is on the swing in the image below, it is comparable to a point load of placed at of the branch is on a wooden branch embedded at one end (cantilever). The length . It is given that conditions are and . . The boundary Use your notes to model the fourth order differential equation suited to this application. Present you differential equation with subject of the equation. Use the Laplace transform to solve this equation in terms of . Use your solution to determine the than thresh value of at where this branch will break (deflection more ). Do not use Matlab as its solution will not be identif You must indicate in your solution: 1. The simplified differential equation in terms of the deflection i able in the solution entry. you will be solving 2. The simplified Laplace transform of this equation where you have made equation 3. The partial fractions process if required 4. The completi ng the square process if required 5. Express the solution as a piecewise function and determine the value of subject of the at breakpoint when 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 = 1x 10- m" and E = 2x 10' Nm. The boundaryconditions are y(0) 0, y'(0)fourth 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 more%3D= 0, y"(0) M and y"(0) = -2M. Use your notes to model the-). Do not use Matlab as its solution will not be identifiable in the solution entry.240than thresh y2You 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 subject of theequation3. The partial fractions process if required4. The completing the square process if required5. Express the solution as a piecewise function and determine the value of M at breakpoint when 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 = 1x 10- m" and E = 2x 10' Nm. The boundaryconditions are y(0) 0, y'(0)fourth 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 more%3D= 0, y"(0) M and y"(0) = -2M. Use your notes to model the-). Do not use Matlab as its solution will not be identifiable in the solution entry.240than thresh y2You 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 subject of theequation3. The partial fractions process if required4. The completing the square process if required5. Express the solution as a piecewise function and determine the value of M at breakpoint when

Laplace modification is used to solve different scales. It is widely accepted in many fields. We…

Answered: 3. If only one person is on the swing…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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If only one person is on the swing in the image below, it is comparable to a point load of placed at of the branch is on a wooden branch embedded at one end (cantilever). The length . It is given that conditions are and . . The boundary Use your notes to model the fourth order differential equation suited to this application. Present you differential equation with subject of the equation. Use the Laplace transform to solve this equation in terms of . Use your solution to determine the than thresh value of at where this branch will break (deflection more ). Do not use Matlab as its solution will not be identif You must indicate in your solution: 1. The simplified differential equation in terms of the deflection i able in the solution entry. you will be solving 2. The simplified Laplace transform of this equation where you have made equation 3. The partial fractions process if required 4. The completi ng the square process if required 5. Express the solution as a piecewise function and determine the value of subject of the at breakpoint when

3. If only one person is on the swing in the image below, it is comparable to a point load of
F = 500 N placed at x 0.5 m on a wooden branch embedded at one end (cantilever). The length
of the branch is 1.5 m. It is given that I = 1x 10- m" and E = 2x 10' Nm. The boundary
conditions are y(0) 0, y'(0)
fourth 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 your
solution to determine the value of M at x = 0.5 m where this branch will break (deflection more
%3D
= 0, y"(0) M and y"(0) = -2M. Use your notes to model the
-). Do not use Matlab as its solution will not be identifiable in the solution entry.
240
than thresh y2
You must indicate in your solution:
1. The simplified differential equation in terms of the deflection y you will be solving
2. The simplified Laplace transform of this equation where you have made subject of the
equation
3. The partial fractions process if required
4. The completing the square process if required
5. Express the solution as a piecewise function and determine the value of M at breakpoint when

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