Determine the translation matrices,rotation and transformation for each of the three coordinate systems
The purpose of this exercise is to determine the kinematics. of the final effector (point P) using the concept of transformation of rigid bodies in the plane. Therefore: a) Determine the translation matrices, rotation and transformation for each of the three coordinate systems (base 0 and ends of the links 1 and 2, shown by axes xiyi, i=0, 1, 2) in relative to the segment coordinate system previous (based on global XY, link 1 in to base, link 2 to link 1). b) Determine the position of the final effector in the global coordinate system from matrices deducted in the previous item. c) Determine the Jacobian of this string kinematics and the velocity of the final effector from the Jacobian. Comments: Deliver your solution either as a Jupyter/Colab notebook or as a pdf/image of the writing to the hand on a sheet of notebook, whatever. Be careful when choosing angles to define the rotation matrices. Remember you can check if the calculations are correct comparing with the deduction by trigonometry of the kinematic chain.
