Homework H6.F - Fa22

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

4 thoughts on “Homework H6.F - Fa22”

1. elran says:

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

1. Mason Philip Hall says:

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.

2. perez353 says:

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

1. Mason Philip Hall says:

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.