a) Point (0,3,-6) is mirrored about the xz plane, rotated 45° about the y-axis, and then...
a) Point (0,3,-6) is mirrored about the xz plane, rotated 45° about the y-axis, and then translated (4,2,-5). Determine the new coordinates of the point.
b) Point (1,5,3) is rotated -60° about the z-axis, translated (-2,7,5), and mirrored about the xy plane. Determine the new coordinates of the point.
c) A line is defined by endpoints (1,2,3) and (4,5,6). A scaling transformation of 1.5 is applied to the line. Determine the coordinates of each endpoint after the transformation is applied. Calculate the length of the line before and after the transformation to verify your answer.
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a) Point (0,3,-6) is mirrored about the xz plane, rotated 45°
about the y-axis, and then...
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and z-axes respectively, then rotated another 30° about the a-axis. Find the...
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and z-axes respectively, then rotated another 30° about the a-axis. Find the new location (10 marks) and orientation of the frame. 0 0 -1 3 -1 0 0 4
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and...
2. (1 Point) Let r-2u and y-3u. (a) Let R be the rectangle in the uv-plane defined by the points (0,0), (2,0), (2,...
2. (1 Point) Let r-2u and y-3u. (a) Let R be the rectangle in the uv-plane defined by the points (0,0), (2,0), (2,1), (0 , 1). Find the area of the image of R in the ry plane? (b) Find the area of R by computing the Jacobian of the transformation from uv-space to xy-space 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...
A cylinder of radius R has the y axis as its central axis, and therefore appears...
A cylinder of radius R has the y axis as its central axis, and therefore appears as a circle in the diagram below. The cylinder does not move. A massless string of total length b (greater than TR) is attached to the cylinder as shown in the diagram. A point mass m is attached to the lower end of the string. The motion is in the xz plane. The point P is defined so that the string above P is...
PLEASE DO LETTER d.) PLEASE DO LETTER f.) The plane from e.) is 4(x-2)+6(y-1)+(z-1)=0 or 4x+6y+z=15...
PLEASE DO LETTER d.)
PLEASE DO LETTER f.)
The plane from e.) is 4(x-2)+6(y-1)+(z-1)=0 or 4x+6y+z=15
15. The temperature on an unevenly heated metal plate positioned in the first quadrant of the xy-plane is given by 25xy + 25 C(x, y) = 7 (x - 1)2 + (y - 1)2 +1° Assume that temperature is measured in degrees Celsius and that x and y are each measured in inches. (Note: At no point in the following questions should you expand...
Consider 1-2 Vr? + y + 3 LLL da dydar. V1-38-98 V +y + y2 +22...
Consider 1-2 Vr? + y + 3 LLL da dydar. V1-38-98 V +y + y2 +22 +y +22-2 the origin to the point (2, y, ) makes with the z-axis is a new angle which we will label o, and we label the length of the line segment p. We can now determine the remaining side-lengths of our new triangle. Let us try to label our point (2, y, z) in only p and 6. Our labeled triangle gives us...
need solution for milestones A Q1 Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a...
need solution for milestones A Q1
Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a Question 1. For each of the plane-stress conditions given below, construct a Mohr's circle of stress, find the principal stresses and the orientation of the principal axes relative to the xy axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) dx = 200 MPa Oy - 300 MPa T .40 MPa (b) dx...
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...
How can we assess whether a project is a success or a failure? This case presents...
How can we assess whether a project is a success or a
failure?
This case presents two phases of a large business transformation project involving the implementation of an ERP system with the aim of creating an integrated company. The case illustrates some of the challenges associated with integration. It also presents the obstacles facing companies that undertake projects involving large information technology projects. Bombardier and Its Environment Joseph-Armand Bombardier was 15 years old when he built his first snowmobile...
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and z-axes respectively, then rotated another 30° about the a-axis. Find the new location (10 marks) and orientation of the frame. 0 0 -1 3 -1 0 0 4
1. a A frame B is rotated 60° about the y-axis, 45° about the n-axis, then translated 4 and 6 units relative to the x- and...
2. (1 Point) Let r-2u and y-3u. (a) Let R be the rectangle in the uv-plane defined by the points (0,0), (2,0), (2,1), (0 , 1). Find the area of the image of R in the ry plane? (b) Find the area of R by computing the Jacobian of the transformation from uv-space to xy-space 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...
A cylinder of radius R has the y axis as its central axis, and therefore appears as a circle in the diagram below. The cylinder does not move. A massless string of total length b (greater than TR) is attached to the cylinder as shown in the diagram. A point mass m is attached to the lower end of the string. The motion is in the xz plane. The point P is defined so that the string above P is...
PLEASE DO LETTER d.)
PLEASE DO LETTER f.)
The plane from e.) is 4(x-2)+6(y-1)+(z-1)=0 or 4x+6y+z=15
15. The temperature on an unevenly heated metal plate positioned in the first quadrant of the xy-plane is given by 25xy + 25 C(x, y) = 7 (x - 1)2 + (y - 1)2 +1° Assume that temperature is measured in degrees Celsius and that x and y are each measured in inches. (Note: At no point in the following questions should you expand...
Consider 1-2 Vr? + y + 3 LLL da dydar. V1-38-98 V +y + y2 +22 +y +22-2 the origin to the point (2, y, ) makes with the z-axis is a new angle which we will label o, and we label the length of the line segment p. We can now determine the remaining side-lengths of our new triangle. Let us try to label our point (2, y, z) in only p and 6. Our labeled triangle gives us...
need solution for milestones A Q1
Solid Mechanics 3 Assessment Task 1a - 2020 Milestone a Question 1. For each of the plane-stress conditions given below, construct a Mohr's circle of stress, find the principal stresses and the orientation of the principal axes relative to the xy axes and determine the stresses on an element, rotated in the x-y plane 60° counterclockwise from its original position: (a) dx = 200 MPa Oy - 300 MPa T .40 MPa (b) dx...
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...
How can we assess whether a project is a success or a
failure?
This case presents two phases of a large business transformation project involving the implementation of an ERP system with the aim of creating an integrated company. The case illustrates some of the challenges associated with integration. It also presents the obstacles facing companies that undertake projects involving large information technology projects. Bombardier and Its Environment Joseph-Armand Bombardier was 15 years old when he built his first snowmobile...
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