In working on coding a video game, I am becoming a little confused..
Suppose there are two identical bars at rest in space. There are two forces of same magnitude acting on these bars. See bad artwork:
Bar 1 Bar 2
In the case of Bar 1, the bar will not rotate at all and will receive a certain amount of linear force, which is correct.
In the case of Bar 2, while the same linear force is applied to the center of mass, a rotational force is also being applied.
In cases 1 and 2, an equal amount of energy is entering the system, yet clearly in case 2 more work is being done. Rotating the bar takes energy, thus less energy must be going into moving the bar linearly?? At least, that's how it seems to make sense to me. yet, resources I've read (http://www.cs.cmu.edu/~baraff/sigcourse/notesd1.pdf
- pg 29 thru 32) suggest that they each get the same linear velocity.
Has bar 2 traveled less distance because some of the energy from the force went into causing it to rotate. And if so, how do you determine the proportions?