Figure 6.1 Q 6(c) [14 Marks] The surgical manipulator in Figure 6.1 is being used in a robot guided hip replacement procedure. At the instant when cutting is being initiated, the robot variables required to position the end effector E in the correct location are as follows:
L_(1)=100mm,L_(2)=100mm,L_(3)=50mm,\theta _(1)=30\deg ,\theta _(2)=30\deg ,\theta _(3)=15\deg
(i) Calculate the coordinates (
x_(0),y_(0),z_(0)
) of the end effector E using the homogeneous transformation matrices. [10 Marks] (ii) Check your result by calculating the coordinates (
x_(0),y_(0),z_(0)
) of E using trigonometry.