3. [25 points] Please derive the vector loop equation of position analysis for the planar linkage shown below. Given = 90, d = 1 in, and h = 0.8 in. a) Derive the component equations, and identify the input variable (driver), the constant, and the output (driven) variables in your equations. [10 points] b) When = 60, solve the vector loop equations to determine all output variables that best resemble the linkage shown in the figure below. [7 points] c) Assume that the driver link rotates at a constant angular velocity = 0.5 rad/s. Please determine the velocities and 2 at 8 = 60. [8 points] Driver link 12 8 B 11 03 13 hi d 04