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...
Q-8 A frame UB was moved along its own n-axis a distance of 5 units and then rotated about its o-axis an angle of 60, followed by a rotation of about the z-axis; it was then translated about its a-axis 3 units and finally rotated about x-axis 45° a) Calculate the total transformation performed. b) What angles and movements would we have to make if we were to create the same location and orientation using Cartesian and RPY configurations? Q-8...
A frame {B}, initially coinciding with frame {A}, is first rotated of 45° about the xaxis of frame {A} and afterward rotated of 90° about the y-axis of frame {A}. Finally, the so obtained frame {B}’’ is translated of 10 units about its own y-axis. Find the homogeneous transform matrix of the final rototranslated frame {B}’’’ relative to frame {A}. A frame {B}, initially coinciding with frame {A}, is first rotated of 45° about the x- axis of frame {A}...
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....
a. Determine the moment of inertia about the rotated x’-axis. b. Determine the moment of inertia about the rotated y’-axis. c. Find a set of principle axes (meaning find the principle angle). 9. Determine the moment of inertia about the rotated x'-axis a. b. Determine the moment of inertia about the rotated y'-axis. 1 m Find a set of principle axes (meaning find the principle angle). c. 30 9. Determine the moment of inertia about the rotated x'-axis a. b....
please answe a and b 6. The graph y-f(x) is translated 4 units up, 3 units right and vertically stretched about the x-axis by a factor of 1/3 and horizontally stretched about the y-axis by a factor of 1/2. a) Following the appropriate order of transformations, using graph paper, re-draw the original function and then draw the graph of the new function. (upload your answer to motivis). b) Following the appropriate order of transformations, write the equation of the new...
4. The curve y = rs for 0 < | < 1 is rotated about the z-axis to form a solid of revolution. (a) Find the volume of this solid of revolution 5 marks b) Calculate the surface area of this solid of revolution, leaving your answer in the form of a 5 marks definite integral. (c) Determine in the form of an integral the arc length of this curve from the points at which r0 and r 1, Use...
The region bounded by x = 25 + y x = 0, y = 5, and y = 10 is rotated about the x-axis. Find the volume of the solid of revolution Use your calculator or computer to find the answer rounded to 4 decimal places. Preview The region bounded by x = 25 + y x = 0, y = 5, and y = 10 is rotated about the x-axis. Find the volume of the solid of revolution Use...
4. Find the volume of the solid formed by the curves x = 1-y^4 and x= 0, and rotated about the y-axis 5. Calculate the volume of the solid obtained by rotating the region bounded by the curves y = x^2, y=0, x=-2 https://gyazo.com/cedb31d3c70d20f6947f520b865a0307
Consider the area bound by the line y- xì and y x? where 0 SxS1. Find the volume line of rotation when this area is rotated about a) the x-axis, b) the y-axis, c) the line Consider the area bound by the line y- xì and y x? where 0 SxS1. Find the volume line of rotation when this area is rotated about a) the x-axis, b) the y-axis, c) the line
Using Matlab: If x(n) = cos(5π e-n/10) over n=[-10:30] and y(m)=sin(0.03πem/20) over m=[0:40], find z = x*y and its support vector k. Here * means convolution. Stem plot the results setting the axes using the command axis([-20,80,-2. .5,2.5]).