2. As shown in the figure, it is a 3 DOF planar robot with 3 rotational joints. [3 marks]

a) Define all the required coordinate systems associated with each joint and derive link

parameters based on the DH method. [y-axis direction is given; you have to assume the

other axes directions] (0.5 mark)

b) Derive the kinematic equations for H3 based on the answer in a).

(0.5 marks)

c) Solve the forward kinematics problem using the following input data:

L₁=2, L2=1, L3= 0.5 (m), = {01, 02, 03}T, assume 0₁<10, 15<0₂<50, and 03<0.

(1 marks)

d) Check your result in c) by sketching the robot configuration.

(1 marks)

23

or iz

The coordinate systems of the three-link planar arm