Problem 6.3. Your work for a company that produces mining equipment, including buckets that are used to extract ore. Your current task is to specify the cable (a "wire rope") that will be adequate to pull a standard bucket up an inclined rail. To complete this task, you perform a static analysis of a representative model of the bucket. Your assumptions are summarized in the data table and diagram (right). Parameter Values M 02 (a) Complete the Free Body Diagram of the bucket (left), using reasonable assumptions. 1580 kg 8º 20° ±20% T E E .G .G 0.7m C 0.7m 1.2 m A D B 1.2m 0.4 m 0.4 m B 1.4m H 02 (b) Write the Equilibrium Equations in vector form. 5 0₁₂ T (c) Thinking carefully about an appropriate coordinate system, write the scalar Equilibrium Equations in standard form.