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3. Let us determine the required roll-pitch-yaw angles (a, b ) to make the x-axis of...
Let B= {[3]• [4]) and c = ( ) [1]} be two basis for R. (1) Suppose Find x, y, are these vectors equal? What does this mean geometrically? i.e. draw x and y in a plane as a linear combination of vectors in B and C. (2) Let u Find the corresponding coordinate vectors us and ſuc. What does this mean geometrically? (3) Find the change of coordinate matrix Pg and use Pg to compute us from part (2).
If F1 = 103 N , F2 = 130 N and F3 = 90 N, determine
the magnitude and coordinate direction angles of the resultant
couple moment. (Figure 1)Note that the figure is a 2-D perspective drawing of a
3-D object. As the dimensions in the figure indicate, the top part
of the piping system is NOT parallel to the x-axis, rather it lies
in an xy-plane and thus does not have a z-component. Also note that
since F4 and...
Also for part b, use parallel axis theorem to calculate x prime
and y prime axis.
(a) Determine the moment of inertia of the cross-sectional area of the beam about the x- axis and y-axis. (6) Using the parallel axis theorem, determine the moment of inertia of the cross- sectional area about the x'-axis and y'-axis YOU MUST USE THE TABLE PROVIDED FOR (a) ABOVE. 150 mm -- 150 mm 20 mm 200 mm 20 mm 200 mm 20 mm...
Determine (a) the x, y, and z components of the 900-N force. (b) the angles theta_x, theta_y, and theta_z that the force forms with the coordinate axes.
transformation. Perform the mappings of lines x- 2 and y 3 under the transformation w = z2 where z = x + iy. Compute the angles between the curves in the u-v plane at the points of intersection. Hence check if the angles between the lines in the z-plane are the same as the angles between the curves in the u-v plane
transformation. Perform the mappings of lines x- 2 and y 3 under the transformation w = z2 where...
1. Two infinitely long parallel wires are situated at x = +1 meter along the x-axis as shown in the figure. They each carry a current of 1 ampere the wire on left out of page the wire on the right into page. A point P is located at y = 1 meter on the y-axis. a. Make a qualitative sketch labeling the magnetic field vector at point P from each wire, and the total magnetic field vector at point...
Problem 3 Roll a die until we get a 6. Let X be the total number of rolls and Y the number of l's we get. (a) Find Etx Y k (b) Find EY
Problem 3 Roll a die until we get a 6. Let X be the total number of rolls and Y the number of l's we get. (a) Find Etx Y k (b) Find EY
(problem 2)Three infinite planes of constant surface charge density have been aligned perpendicular to the x-axis, so they are all parallel to each other. Plane 1 is located at x1= - 0.3m and has surface charge density o1= +7.0 micro C/m. Plane 2 is located at x2 = 0.1m and has surface density o2= - 4.0 micro C/m. Plane 3 is located at x3 = 0.5m and has surface charge density o3= -3.0 micro C/m. (problem 3) Consider again the...
For the vectors shown below, determine the values of A and B that would make A +BF, = 3.5i-4. You may assume that each grid line is 1 unit away from the next. -axis 2 x-axis For the vectors shown below determine the values of A and the acute angle 8 (in degrees that would make the negative y-axis +AT -2.5 -4 Use that g 20 v.-2 and v-3. Note: The angle θ is between the vector and y-axis x-axis...
1(a) . Let A denote the area enclosed by the graph f(x)= 10-x, the x- axis , and the lines x=3 and x =5. Graphing the region and using plane geometry , find A. (b). Let A denote the area enclosed by the graph f(x)= (x-1)^2, the x - axis , and te lines x=2 and x=9. Graphing the region and using plane geometry , we can find that A=. (c). Suppose S4 is the lower sum of the area...