Fluid Mechanics: Fundamentals and Applications
4th Edition
ISBN: 9781259696534
Author: Yunus A. Cengel Dr., John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 15, Problem 4CP
To determine
A sketch of unstructured grid using three-sided cell.
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Topics Discussed: Static of Rigid Bodies, Force Vector, Addition of a System of Coplanar Forces, Cartesian Vector
Please re-compute and re-solve the given, This is my answer. But I also want to see your expert answer if we land in the same solutions and answers. Please show your complete solution.
Thank you.
The center of mass for a human body can be determined by a segmental method. Using cadavers, it
is possible to determine the mass of individual body segments (as a proportion of total body
mass) and the center of mass for each segment (often expressed as a distance from one end of the
segment). Finding the overall body center of mass can be a complex calculation, involving more than
10 body segments. Below, we will look at a simplified model that uses just six segments: head, trunk,
two arms, and two legs.
Search
y
X
As a percentage of total body mass, the head is 10%, the two arms are 10%, the trunk is 56%, and the
two legs are 24%. The center of mass for each segment is given as an (x,y) coordinate, both units in
cm: head = (0, 165), arms = (0, 115), trunk = (0, 95), and legs = (0, 35). Assume the body mass for the
individual is 88 kg and their total height is 180 cm.
Determine they and y coord
99+
H
of mass
I am trying to find a Direction Cosine Matrix (DCM) for the Euler angle body 1-2-3 sequence. I tried making my own function and using the MATLAB function, but the result is a matrix that is transpose of each other. I mean that transpose(EA123toDCM) = E123toDCM. Why is that?
Also, for the E123toDCM line, I am using the sequence 'ZYX'. Is that correct or should it be 'XYZ'? I know that that for a DCM of sequence 1-2-3 = R3(theta1)*R2(theta2)*R1(theta3). Is ZYX sequence the same as a 1-2-3 sequence?
EA = [pi/3; -pi/4; -pi/6];EA123toDCM = EA123DCM(EA)
E123toDCM = angle2dcm(EA(1,1), EA(2,1), EA(3,1), 'ZYX')
function [R] = EA123DCM(EA)
theta1 = EA(1,1); theta2 = EA(2,1); theta3 = EA(3,1); R1 = @(a)[1 0 0 ; 0 cos(a) -sin(a); 0 sin(a) cos(a)]; R2 = @(a)[cos(a) 0 sin(a) ; 0 1 0 ; -sin(a) 0 cos(a)]; R3 = @(a)[ cos(a) -sin(a) 0; sin(a) cos(a) 0;…
Chapter 15 Solutions
Fluid Mechanics: Fundamentals and Applications
Ch. 15 - A CFD code is used to solve a two-dimensional (x...Ch. 15 - Write a brief (a few sentences) definition and...Ch. 15 - What is the difference between a node and an...Ch. 15 - Prob. 4CPCh. 15 - Prob. 5CPCh. 15 - Prob. 6CPCh. 15 - Prob. 7CPCh. 15 - Write a brief (a few sentences) discussion about...Ch. 15 - Prob. 9CPCh. 15 - Prob. 10CP
Ch. 15 - Prob. 11CPCh. 15 - Prob. 13CPCh. 15 - Prob. 14CPCh. 15 - Prob. 15CPCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Prob. 24PCh. 15 - Prob. 25PCh. 15 - Prob. 26PCh. 15 - Prob. 27PCh. 15 - For each statement, choose whether the statement...Ch. 15 - Prob. 45CPCh. 15 - Gerry creates the computational domain sketched in...Ch. 15 - Think about modem high-speed, large-memory...Ch. 15 - What is the difference between mulugridding and...Ch. 15 - Suppose you have a fair) comp1c geometry and a CFD...Ch. 15 - Generate a computational domain and grid, and...
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- please solve quckly and clearlyarrow_forwardAn incompressible CFD code is used to simulate the flow of gasoline through a two-dimensional rectangular channel in which there is a large circular settling chamber. Flow enters from the left and exits to the right as shown. A time-averaged turbulent flow solution is generated using a turbulence model. Top–bottom symmetry is assumed. Inlet velocity V is known, and outlet pressure Pout is also known. Generate the blocking for a structured grid using four-sided blocks, and sketch a coarse grid using four-sided cells, being sure to cluster cells near walls. Also be careful to avoid highly skewed cells. Label the boundary conditions that should be applied to every edge of every block of your computational domain.arrow_forwardDon't Use Chat GPT Will Upvote And Give Handwritten Solution Pleasearrow_forward
- Please answer with The Network Simplex Methodarrow_forwardI am trying to find a Direction Cosine Matrix (DCM) for the Euler angle body 1-2-3 sequence. I tried making my own function and using the MATLAB function, but the result is matrices that are not equal to each other. But, if I were to use the 'ZYX' sequence, I would get a matrix that is equal to the transpose of the matrix produced by my function.I mean that transpose(EA123toDCM) = E123toDCM if I changed the sequence to 'ZYX'. I never got two equal matrices. Can you fix my code so I would get two equal DCM matrices for the body 1-2-3 sequence? Also, for the E123toDCM line, I am using the sequence 'XYZ'. Is that correct or should it be 'ZYX'? I know that that for a DCM of sequence 1-2-3 = R3(theta1)*R2(theta2)*R1(theta3). Is ZYX sequence the same as a 1-2-3 sequence? EA = [pi/3; -pi/4; -pi/6];EA123toDCM = EA123DCM(EA) E123toDCM = angle2dcm(EA(1,1), EA(2,1), EA(3,1), 'XYZ') function [R] = EA123DCM(EA) theta1 = EA(1,1); theta2 = EA(2,1); theta3 = EA(3,1); R1 =…arrow_forwardShow steps for this problem for a thumbs uparrow_forward
- Topics Discussed: Static of Rigid Bodies, Force Vector, Addition of a System of Coplanar Forces, Cartesian Vector Please re-compute and re-solve the given, This is my answer. But I also want to see your expert answer if we land in the same solutions and answers. Please show your complete solution. Thank you.arrow_forwardUse Triple Integral to solve the problem.arrow_forwardques 4 plz provide handwritten step by step answer asaparrow_forward
- Having trouble applying the rules for simplifying this block diagram. Please explain how to simplify. Thanks!arrow_forward2. An example of a linear decreasing model could be inventory in a warehouse that ships the same number of items each day. We will assume that this warehouse is going out of business, so no new calculators are being sent to the warehouse. Calculators in warehouse Calculators sold per day number of calculators sold per salesperson per day salespeople 2(a). Notice that this model has additional components shown as converters. Based on the titles of the converters, write the equation that must have been used to calculate the flow value in this model. Be sure to include appropriate units. Set the initial number of calculators to 10,000 {calculators}. If nnd that they each sell 15 modelarrow_forward2. As shown in the right figure, write out your solution strategy, including model, meshing(at least 2Nim with 4 elements), boundary conditions, and element type and shape functions, also write out the nodal force formula. Do not require computing. 2Nim 2m 2marrow_forward
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