Problem statementSolution video |

**DISCUSSION THREAD**

Any questions??

**DISCUSSION**

**Four-step plan (for deriving EOM)**

**Step 1: FBD**

Draw a free-body diagram of block A. Be sure have your spring force and dashpot forces drawn correctly based on the coordinate *x* shown.

**Step 2: Kinetics - Newton/Euler**

Write down the Newton equation for the block.

* Step 3: Kinematics*None needed here.

**Step 4: Equation of motion**

Do you assume that the initial direction of motion will be in the positive x direction given?

You can assume either direction, as long as coordinates remain consistent; a good check is to see if your acceleration, velocity, and position are all of the same sign.

How do we eliminate the mg on the right hand side of the equation so we can solve using the book equations.?

The method I used involved the z substitution shown on page 385. It allows you to eliminate the mg, and then use the methods for solving on page 387-389.