The angle between the crank and the X-axis is 50° and the crank rotates at a speed of 1000 RPM counterclockwise. Assume a global coordinate system with positive X pointing from M to N.
d. (15%) Determine the angle and length of link 3, the length of link 3, and the position of point B from the vector loop equation.
e. (15%) Determine the angular velocity of link 3, the velocity of the change in link 3's length (this is called the "velocity of slip" in the book), and the linear velocity of point B from the velocity equations.