4. Assume Frame B coincides with Frame A at the beginning. Then the Frame B moves to position [3, 4, 5] in Frame A, at the same time Frame B consecutively rotates around its own axes w, u, and v by 45, 45 and 75 degrees, respectively. There is a Point P located in Frame B having initial coordinates [3, 3, 3] in B, at the same time the Point P moves along B U axis by 5, along B V axis by 6, and along B W axis by 7. a. Compute the final position P in Frame A. Pin A = [0;0;0] b. If there is a frame C located in the P point, with the rotation matrix R1 (please refer to R1 in task2.a) with respect to frame B. Write the final homogeneous tranformation matrix of frame C in A. % compute A as follows: TafsinA = zeros(4,4)

V-axis X-axis A Figure 1. An object (yellow point) travels from point A to point B along the arc of a circle that is centered at point O (red point). velocity of an object, either due to a change in speed or direction, means the object is accelerating. According to Newton's second law, an object will accelerate only if there is a non-zero total force acting on the object. For uniform circular motion, it turns out that this force must always be pointing towards the center of the circle that the object is travelling around and we say that there is a centripetal force present. You can use Newton's second law and a little bit of geometry to understand why an object undergoing uniform circular motion must be experiencing a force that is pointing towards the center of the circle the object is travelling on. If the acceleration vector pointed above or below the plane of the circle, the velocity vector would also end up pointing out of the plane that the circle is on. Since the velocity vector…

Question 1 A point P(6,1,2) that is attached to a frame is subjected to the followings sequence of transformations: i. A rotation of 70° about the z-axis, ii. A translation of [4 -7 5], iii. A rotation of 50° about the y-axis. Solve for the coordinate of the point at the conclusions of these transformations.

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