Computer Applications in Analysis Homework 5 - Optimization You will submit: (i) the source code (.m file), (ii) the screenshots that show the output. Solve the task 7.34 from the textbook: Roller bearings are subject to fatigue failure caused by large contact loads F (Fig. P7.34). The problem of finding the location of the maximum stress along the x axis can be shown to be equivalent to maximizing tho function:

Computer Applications in Analysis Homework 5 - Optimization You will submit: (i) the source code (.m file), (ii) the screenshots that show the output. Solve the task 7.34 from the textbook: Roller bearings are subject to fatigue failure caused by large contact loads F (Fig. P7.34). The problem of finding the location of the maximum stress along the x axis can be shown to be equivalent to maximizing tho function:

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

See similar textbooks

Similar questions

Please solve the following two problems:
lail - Ahmed Amro Hussein Ali A x n Course: EN7919-Thermodynamic x Homework Problerns(First Law)_S x noodle/pluginfile.php/168549/mod_resource/content/1/Homework%20Problems%28First%20Law%29_SOLUTIONS.pdf UTIONS.pdf 4 / 4 100% Problem-4: When a system is taken from a state-a to a state-b, the figure along path a-c-b, 84 kJ of heat flow into the system, and the system does 32 kJ of work. (i) How much will the heat that flows into the system along the path a-d-b be, if the work done is 10.5 kJ? (Answer: 62.5 kJ) (ii) When the system is returned from b to a along the curved path, the work done on the system is 21 kJ. Does the system absorb or liberate heat, and how much? (Answer:-73 k]) (iii) If Ua = 0 andU, = 42kJ , find the heat absorbed in the processes ad and db. (Answer: 52.5 kJ, 10 kJ)
OPERATIONS RESEARCH solve using the simplex solution (mixed constraints) show all the iteration • show the complete solution ● Convert the LP Model to its standard form: Min Z = 2X, + 3X₂ Subject to: 1/2X₁ + 1/4X₂ X₁ + 3X₂ X₁ + X₂ X₁, X₂ ≤4 ≥ 36 = 10 ≥0
the expert is done on the object consits of ( cart+block) ... look at this Graph and answer these two questions : 1) find the value of the spring constant from Graph ? 2) Determine the compression of the spring from the change in position of the cart+block in Graph ?
1. A spring mass system serving as a shock absorber under a car's suspension, supports the M=1000kgmass of the car. For this shock absorber,k=1000N/m and c=2000N s/m. The car drives over a corrugated road with force F=2000sin(wt)N. Use your notes to model the second order differential equation suited to thisapplication. Simplify the equation with the coefficient of x'' as one. Solve x (the general solution) interms of using the complimentary and particular solution method. In determining the coefficients ofyour particular solution, it will be required that you assume w2 -1=w or . Do not 1-w2=-wuse Matlab as its solution will not be identifiable in the solution entry. Do not determine the value of w.You must indicate in your solution:1. The simplified differential equation in terms of the displacement x you will be solving2. The m equation and complimentary solution3. The choice for the particular solution and the actual particular solution xp4. Express the solution x as a piecewise…
3. Using the trial function u¹(x) = a sin(x) and weighting function w¹(x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. (U₁xx -2 = 0 u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) (U₁xx-2 = 0 u(0) = 1 u(1) = 0
During a bicep curl on a bicep curl machine, I'm curling a weight stack of 100 pounds (single arm...I'm jacked like that). At this very moment, the weight stack has a moment arm of 0.12m, my elbow has an angle of 63deg, my muscle force vector has an angle of 23deg, and it attaches 3cm below my elbow joint on my radius. How much force must my bicep create right at this moment to hold the weight stack in place?
1) The first man who studied and partially understood the kinematics of a particle falling in the earth's gravitational field was Leonardo da Vinci (1452-1519). He constructed an apparatus consisting of two vertical boards, hinged together on one side and covered with blotting paper on the inside faces. A leaking water tap lets drops fall down between the boards at presumably equal intervals of time. When a string is suddenly pulled, the boards are clapped together and the positions of the drops on the blotters can be inspected. Suppose that the vertical boards are 3 feet long and the leaking faucet is at such height and the rate of dropping is so regulated that when a drop is just coming out of the faucet, the next or second drop is just at the top of the boards and the sixth drop is at the bottom of the boards, while drops 3, 4 and 5 are between the boards. Calculate the number of drops leaving the faucet per second. ANS. 11.35 drops/sec
A rectangular tube of outer width w = 7.5 m, outer height h = 5 m and thickness t = 0.17 m experiences bending through the x axis. What is the moment of inertia of the cross-sectional area In? y -- X MATLAB input variables: format shortEng W = 7.5; h = 5; t = 0.17; moment of inertia I, = m4
3. Using the trial function uh(x) = a sin(x) and weighting function wh(x) = b sin(x) find an approximate solution to the following boundary value problems by determining the value of coefficient a. For each one, also find the exact solution using Matlab and plot the exact and approximate solutions. (One point each for: (i) finding a, (ii) finding the exact solution, and (iii) plotting the solution) a. (U₁xx - 2 = 0 u(0) = 0 u(1) = 0 b. Modify the trial function and find an approximation for the following boundary value problem. (Hint: you will need to add an extra term to the function to make it satisfy the boundary conditions.) (U₁xx - 2 = 0 u(0) = 1 u(1) = 0
DISCUSSION Before posting to the discussion board, complete the following: The concept of a weak solution of a boundary value problem plays an important role in some numerical solutions including the finite element method. The idea of a "weak solution" can be a rather weak notion. The following problem was presented in lecture 3 of week 8. It is generally not solvable in closed form. 00 on 0
Consider the following linear equations,