Answer Happy

Problem 2: Solutions are implicitly in terms of theta and self-defined variables.
2. The Oil pump jack shown below has dimensions shown for this particular model. The black lines show the equivalent four bar mechanism. Our goal is to calculate the angle 0 which is essentially the angle of the large pump arm and determines the motion of the overhead beam that drives the pumping system. a) Introduce variables, symbols and a coordinate system. Label on the drawing. (3 pts) b) Derive an expression for the angle 0 (implicit) based on ANY change in the location of A. Note that the O2-A arm is driven by a motor and has full circular motion. The solution for would then be a solution to a set of nonlinear equations. (3 pts) c) Derive an expression for the first and second time derivative of 0. (3 pts) d) Describe how you would solve for and its derivatives. (1pt) $1.26 P₁ 76 e by 475- 0₂ L 15