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vroy
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Homework Statement
Referring to the attached diagram, the object ABCD is kept in an isolated system where it is under no external influence of any kind.
A· An instantaneous force F acts along the edge BC of the block ABCD, where M is its mass, with its center of mass located at O.
B· X-Y is the coordinate system that has been used to resolve the aforementioned force
C· The component of force towards O (F cosθ) is further resolved using another coordinate system X'-Y'.
Here are the questions:
1. Is choosing these kinds of coordinate systems legit in mechanics (meaning, one would intuitively take AB and BC as the X and the Y coordinates respectively. Would it be wrong if someone doesn't)?
If yes, then:
2. Will ABCD have an instantaneous acceleration in the X' direction which is equal to (F cosθ(cosα))/M, when F is applied?
3. Will ABCD have an instantaneous acceleration in the Y' direction which is equal to (F cosθ(sinα))/M, when F is applied?
4. What will the F sinθ do (i.e will it have any effect on the motion of ABCD)?
5. Which component of the force F will cause rotation in ABCD and about which point?
6. If the edges BC and AD are reduced to 0, then will F cause pure rotational motion and no translation motion?
Homework Equations
No such equations
The Attempt at a Solution
I intentionally framed this question in my head so that the concept of choosing coordinates becomes clearer. So, as such I have not reached a solution as yet.