(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Referring to the attached diagram, the object ABCD is kept in ansystem where it is under no external influence of any kind.isolated

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?

2. Relevant equations

No such equations

3. 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.

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# Classical mechanics: motion and acceleration

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