Reference no: EM132183516 , Length: 5

Assignment -

Choose an engineering situation where an object is in motion under the influence of a force. Either the trajectory or the force must be time-variant, i.e. a constant force in a constant direction is not allowable. Your object can be modeled as a particle or as a rigid body; the choice is up to you. You must develop the equations of motion of the object using Newton's second law, the Work-Energy Principle, or Conservation of Momentum.

The dynamics may be planar or 3 dimensional. Rectilinear motion is acceptable if the force varies with time, speed, or distance. In the document:

1. Give the background to the problem (what is your object, what is happening, what kinds of forces are applied, what are the system constants and the dynamic parameters).

2. List or describe all of your assumptions.

3. Show all diagrams necessary to understand your thought process.

4. Give an analytical, mathematical description of the process of the solution, showing all relevant steps of reasoning that culminates in the equations of motion of your object.

Expectations: The document should read as a cogent, logical narrative. It should be typeset appropriately; handwritten documents will not be accepted. All equations should be numbered. Equations do not need to be referenced by number if they follow the general flow of the narrative, but you must refer to an equation by number if you are re-using an equation developed earlier in the narrative. Diagrams must have a Figure number and a caption and must be referenced to by Figure number in the text. Figures should be machine-drawn using the graphical software of your choice: scans of hand-drawn sketches will not be accepted. Tables are not required, but if your situation warrants a table, it should be referenced by Table number in the text.