Solving Statics HW Problem: Piston Velocity & Acceleration

[usher112]

Homework Statement

Using the diagram shown below for a simple reciprocating engine, determine (a) the piston velocity (velocity at point D) and (b) the piston acceleration (acceleration at point D) as functions of the crankshaft angle, θ. The dimensions are as follows: LAB=1.875”, LBD=6.0”, and ωAB=8000rpm. (c) Plot your results: VD vs. θ and AD vs. θ.

Homework Equations

The Attempt at a Solution

I don't know where to start

 

[LCKurtz]

Hmmm, you want help on an extra credit problem that you "don't know where to start" so you can hand it in for extra credit. What's wrong with this picture? Under those circumstances I will give you only one small hint, which is probably more than I should do:

Call AD "x" and write x in terms of the known sides and angle. And use letters instead of numbers until the end.

 

[uradnky]

You can solve this using either the Relative Motion Method for mechanism analysis, or Instantaneous Centers of Rotation.

I`m guessing you haven't covered either of these in your course, I did a quick search and found this book if you want to read up on it..

http://books.google.ca/books?id=_l4...e&q=relative motion method mechanisms&f=false