Consider a four-bar mechanism with the following dimensions shown in Figure 1, the mechanism is actuated by a crank (Link 1) rotating with an angular velocity of 2 rad/s in a counter-clockwise direction. You are required to perform position analysis to determine the position of point P, as the mechanism rotates from an initial angle of 0 degrees to a final angle of 180 degrees. Instructions: Define the mechanism geometry and initial conditions in MATLAB Set up the equations that describe the position of point P as a function of the mechanism's configuration. Implement the position analysis using MATLAB code. Plot the trajectory of point P as it moves through its range of motion Include comments in your code to explain the steps and equations used. Submit your MATLAB code and a plot of the trajectory as the assessment. Figure 1 Four Bar Mechanism MARKING SCHEME YOR REPORT SHOULD INCLUDE THE FOLLOWING SECTIONS: 1. Introduction Clear understanding about the mechanisms State some industrial applications with references to literature. NB: Select a recommended citation style and keep consistency throughout your report. 2. Method Correct implementation of mechanism geometry and initial conditions. Accurate formulation of equations for position analysis. Proper implementation of MATLAB code for position analysis. Clear and concise comments explaining the steps and equations used 3. Results - Present the results in the form of graphical data. Present the equations and calculations used to determine the calculated data. 4. Conclusion [20 marks] [30 marks] [30 marks] [20 marks]