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Below is the transformation matrix between cylindrical and rectangular coordinates: P cos sino 0 i 0...
Please solve correctly (10) 7. Below is the transformation matrix between cylindrical and rectangular coordinates: e...
Please solve correctly
(10) 7. Below is the transformation matrix between cylindrical and rectangular coordinates: e coso singoi = -sin cos0 . 2 0 0 1 k When we found the velocity and acceleration in cylindrical coordinates, we had to find how each of the unit vectors changed in time. For this problem, just find For this problem, just find as g and di and dt dt
Problem: Find the matrix which represents in standard coordinates the transformation S : R2 → R2...
Problem: Find the matrix which represents in standard coordinates the transformation S : R2 → R2 which shear parallel to the line L ai , where a (3,6) such that a gets transformed into a s, with s (-18,9) Solution The approach we take demonstrates how much convenience can be gained by being able to work with respect to coordinates which are specially adapted to the situation at hand. We compute the matrix S in two steps 1. We find...
2nd attached picture is problem 1 from HW 2 1. (10 Points Exam Extra Credit): Let's...
2nd attached picture is problem 1 from HW 2
1. (10 Points Exam Extra Credit): Let's revisit the problem of how to compute derivatives of basis vectors, which we did in Problem 1 of HWW2 (note: you will need to refer back to this HW at to do this problem). Consider the Laplacian operator, V2, in spherical coordinates. It looks like this, where the scalar (say V) goes into the 2) 10.2001 8801 VO - por l" or ) +...
1. If a function f(x,y) has a local maximum then it is not necessary that it...
1. If a function f(x,y) has a local maximum then it is not necessary that it has also a local minimum True False 2. If a vector field F is conservative then we can not find a potential functions. True False 3. Suppose that P and Q have continuous first-order partial derivatives on a domain D and consider the vector field F = Pi+Qj. Then F is conservative if op 80 True False 4. If D is a rectangle, then...
BOX 5.1 The Polar Coordinate Basis Consider ordinary polar coordinates r and 0 (see figure 5.3)....
BOX 5.1 The Polar Coordinate Basis Consider ordinary polar coordinates r and 0 (see figure 5.3). Note that the distance between two points with the same r coordinate but separated by an infinitesimal step do in 0 is r do (by the definition of angle). So there are (at least) two ways to define a basis vector for the direction (which we define to be tangent to the r = constant curve): (1) we could define a basis vector es...
Change of Variables When working integrals, it is wise to choose a coordinate system that fits the problem; e.g. p...
Change of Variables When working integrals, it is wise to choose a coordinate system that fits the problem; e.g. polar coordinates are a good choice for integrating over disks. Once we choose a coordinate system we must figure out the area form (dA) for that system. For example, when switching from rectangular to polar coordinates we must change the form of the area element from drdy to rdrd0. To determine that rdrde is the correct formula how the edges of...
For this project, each part will be in its oun matlab script. You will be uploading a total 3 m f...
For this project, each part will be in its oun matlab script. You will be uploading a total 3 m files. Be sure to make your variable names descriptive, and add comments regularly to describe what your code is doing and hou your code aligns with the assignment 1 Iterative Methods: Conjugate Gradient In most software applications, row reduction is rarely used to solve a linear system Ar-b instead, an iterative algorithm like the one presented below is used. 1.1...
I wanna know how to solve theses.. professor.. 8. Inside a perfect conductor, there is no...
I wanna know how to solve theses.. professor..
8. Inside a perfect conductor, there is no electric field, i.e., E =0.(20) a. Show that the electrostatic potential is constant in the surface of the conductor. (5) b. Show that the electric field just outside the conductor is perpendicular to its surface. (5) c. There is a hollow (vacuum) cavity lying inside a conductor. What is the electric field in the hollow volume? (10) 9. There is an infinitely long solenoid...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1200 kg/m2, Uoo- 20 m/s and cylinder radius R 0.01 m 1 cm and Az 1 m Note: The flow does not cross streamlines, so there is no flow across the side boundaries. Exit (2) NO SCALE Variable u vs y at x2-0 Inlet (1) y- H1 and v 0 constant u Uo constant v0 A) Find mass...
Please solve correctly
(10) 7. Below is the transformation matrix between cylindrical and rectangular coordinates: e coso singoi = -sin cos0 . 2 0 0 1 k When we found the velocity and acceleration in cylindrical coordinates, we had to find how each of the unit vectors changed in time. For this problem, just find For this problem, just find as g and di and dt dt
Problem: Find the matrix which represents in standard coordinates the transformation S : R2 → R2 which shear parallel to the line L ai , where a (3,6) such that a gets transformed into a s, with s (-18,9) Solution The approach we take demonstrates how much convenience can be gained by being able to work with respect to coordinates which are specially adapted to the situation at hand. We compute the matrix S in two steps 1. We find...
2nd attached picture is problem 1 from HW 2
1. (10 Points Exam Extra Credit): Let's revisit the problem of how to compute derivatives of basis vectors, which we did in Problem 1 of HWW2 (note: you will need to refer back to this HW at to do this problem). Consider the Laplacian operator, V2, in spherical coordinates. It looks like this, where the scalar (say V) goes into the 2) 10.2001 8801 VO - por l" or ) +...
1. If a function f(x,y) has a local maximum then it is not necessary that it has also a local minimum True False 2. If a vector field F is conservative then we can not find a potential functions. True False 3. Suppose that P and Q have continuous first-order partial derivatives on a domain D and consider the vector field F = Pi+Qj. Then F is conservative if op 80 True False 4. If D is a rectangle, then...
BOX 5.1 The Polar Coordinate Basis Consider ordinary polar coordinates r and 0 (see figure 5.3). Note that the distance between two points with the same r coordinate but separated by an infinitesimal step do in 0 is r do (by the definition of angle). So there are (at least) two ways to define a basis vector for the direction (which we define to be tangent to the r = constant curve): (1) we could define a basis vector es...
Change of Variables When working integrals, it is wise to choose a coordinate system that fits the problem; e.g. polar coordinates are a good choice for integrating over disks. Once we choose a coordinate system we must figure out the area form (dA) for that system. For example, when switching from rectangular to polar coordinates we must change the form of the area element from drdy to rdrd0. To determine that rdrde is the correct formula how the edges of...
For this project, each part will be in its oun matlab script. You will be uploading a total 3 m files. Be sure to make your variable names descriptive, and add comments regularly to describe what your code is doing and hou your code aligns with the assignment 1 Iterative Methods: Conjugate Gradient In most software applications, row reduction is rarely used to solve a linear system Ar-b instead, an iterative algorithm like the one presented below is used. 1.1...
I wanna know how to solve theses.. professor..
8. Inside a perfect conductor, there is no electric field, i.e., E =0.(20) a. Show that the electrostatic potential is constant in the surface of the conductor. (5) b. Show that the electric field just outside the conductor is perpendicular to its surface. (5) c. There is a hollow (vacuum) cavity lying inside a conductor. What is the electric field in the hollow volume? (10) 9. There is an infinitely long solenoid...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Now evaluate the mass and momentum into and out of the CV shown with 1.0s y Rs 1.5 at (2) Let p 1200 kg/m2, Uoo- 20 m/s and cylinder radius R 0.01 m 1 cm and Az 1 m Note: The flow does not cross streamlines, so there is no flow across the side boundaries. Exit (2) NO SCALE Variable u vs y at x2-0 Inlet (1) y- H1 and v 0 constant u Uo constant v0 A) Find mass...
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