A robot is placed so that the origins of its reference frame is located at (500, 300, 0) in the world reference frame. The Yo axis is parallel to ands pointing in the same direction and Xref axis. Find the based position for this robot..
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- Question A. What is F2 in a 3d vector component form?How many different orientation can a 3-D shape have? How many different orientation will a cube or a rectangular prism, etc. have? By different orientation, I mean that the cartesian coordinate frame will stay in place while the shape will move.Question is image. Solution of c) ? Inverse Laplace
- Two endpoints of a line are (4,1,5) and (2,4,8). First, the line is rotated by angle 60 CCW about the x-axis. Then it is scaled by a factor of 3 with respect to the origin. Find the coordinates of the endpoints of the transformed line. Please explain nicely and write nicely. ThanksB.Write the general form of a 3D rotation matrix about the y-axis?A point M is 20mm above HP and 18mm in front of VP. Another point N is 45mm above HP and 25mm in front of VP. If the gap between Mo and No is 40mm then draw and find the gap between the front views and top views of both the points.
- 3 points are plotted in the x, y, & z-plane as follows: A(-1,0,3); B(4, 2, 0); C(0,-1,-1). Establish a position vector from point B to point A. Please include a free-body diagram if possible. Choices are as follows: a) 0.81i + 0.32j - 0.49kb) 0.78i + 0.59j - 0.20kc) 0.24i - 0.24j - 0.94kd) 0.81i + 0.32j + 0.49ke) 0.81i - 0.32j + 0.49kf) 0.24i + 0.24j + 0.94kg) 0.78i - 0.59j - 0.20kh) 0.81i - 0.32j - 0.49ki) 0.78i + 0.59j + 0.20kj) 0.78i - 0.59j + 0.20kk) 0.24i - 0.24j + 0.94kl) 0.24i + 0.24j - 0.94kCalculate the x and y components of a 30m displacement at 23° from the x-axisA point-like robotic system is located in a 2D workspace containing two obstacles. The start configuration of the robotic system is qs is at at (0,0) and final configuration af is at (8,6). Vertices of obstacle 1 are: (1 : (1,0), 2 : (2,0),3 : (2,1), 4 : (1,1)) and Vertices for obstacle 2 are: (5 : (5,5), 6 : (6,5), 7 : (6,6), 8 : (5,6). Here, (i : (a,b) denotes coordinates of node i are (a,b). Set up the appropriate potential field for path-planning. Take radius of influence po as 1.
- 3.Find the 3D transformation matrix that represents a rotation by 60° about the z-axis?Which picture represent object with '' same geometry topology'? a) b)1) Describe the following homogeneous transformation: image 1 1) There is no correct answer.2) It represents a rotation by angle β about the x-axis followed by a translation alongthe z-axis.3) It represents a translation of cos β along the x-axis in z-direction.4) It represents a rotation by angle β about the x-axis. 2) Which of the shown robots has more degrees-of-freedom? image 2 1) Robots B and C2) Robot C3) Robot B4) It is not possible to answer as the joints are not defined.