Let me set up the following problem for a rectangle floating in space:
- We know its dimensions.
- We know its mass.
- There's a force pushing it for a known amount of time - we know the angle & magnitude of the force.
- We know the point on the rectangle the force is being applied.
Here's a picture I made of the situation:
I can use the torque & moment of inertia equations to determine the angular acceleration this rectangle will experience.
But I would also imagine this rectangle will experience some "straight" acceleration.
For example in this picture, I can see the rectangle rotating counterclockwise, but also moving in an up-left direction.
My Question: I would use my torque & moment of inertia equations to determine the angular acceleration of the rectangle. But that's only part of the motion it would experience. How would I calculate the "straight" acceleration it has?
My best guess is that the "straight" acceleration is just going to be f/m, but since the rectangle is also rotating while the force is being applied, then the force vector keeps changing and this will make for some difficult computations?