For the inverted slider-crank shown below, use the vector loop method to derive the scalar position, velocity, and acceleration equations. The known parameters are link lengths a, c, and d, the angles 02 and y, and the angular velocity and acceleration of driver, w2 and a2. Refer to the animation posted on Canvas to visualize the motion of the mechanism. W a e R Y b R d R W 03 a. Position Equations: Sum the position vectors, write them in polar form, and then apply the Euler identity and determine the two scalar position equations. The unknown parameters are the angle 84 and the distance b (note: 03 = 04 + Y). b. Velocity Equations: Take the derivative with respect to time of the position equation in polar form, and then apply the Euler identity and determine the two scalar velocity equations. The unknown parameters will be the angular velocity @4 and the slip velocity b (note: w3= w4).