Consider the robot manipulator shown in Fig. 3, where the robot parameters including the lengths has...

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Consider the robot manipulator shown in Fig. 3, where the robot parameters including the lengths has ) to the been presented. a) Find the Forward Kinematics which maps the joins parameters (12, workspace parameters (x, y of the end-effector). [4] a) For any possible values of 1 2 11, mathematically drive the reachable workspace. (without any limitations on joint angels). [10] b) Find the basic Jacobian, Jo, for this manipulator which relates changes between workspace parameters (X, Y ) of the end - effector and the joint parameters. c) Find the singularities (with respect to linear velocity) of this manipulator.Fig. 3 Y m. 2m 24 0 m 24 X Fig. 3 End Effector Consider the robot manipulator shown in Fig. 3, where the robot parameters including the lengths has ) to the been presented. a) Find the Forward Kinematics which maps the joins parameters (12, workspace parameters (x, y of the end-effector). [4] a) For any possible values of 1 2 11, mathematically drive the reachable workspace. (without any limitations on joint angels). [10] b) Find the basic Jacobian, Jo, for this manipulator which relates changes between workspace parameters (X, Y ) of the end - effector and the joint parameters. c) Find the singularities (with respect to linear velocity) of this manipulator.Fig. 3 Y m. 2m 24 0 m 24 X Fig. 3 End Effector