What is the linear acceleration of the bucket?

[Dark Visitor]

i) I don't have any clue... Does it have anything to do with the 90 degree angle the rope makes?

ii) Yes I do, but that equation has 2 unknowns as well. We are missing the acceleration and tension in the older equation.

 

[tiny-tim]

i) I don't have any clue... Does it have anything to do with the 90 degree angle the rope makes?

What is the definition of torque?

 

[Dark Visitor]

Torque is the tendency of a force to rotate an object about an axis.

Or in equation form:

$$\sum$$τ = I$$\alpha$$

 

[tiny-tim]

No!

Definition of torque is position "cross" force ("moment of force": r x F).

Look it up!

 

[Dark Visitor]

Um I did, and I put what I found, both in my book and online.

 

[tiny-tim]

Um I did, and I put what I found, both in my book and online.

Um so did I …

and it's "Definition of torque is position "cross" force ("moment of force": r x F)."

See http://en.wikipedia.org/wiki/Torque" and the PF Library.

 

[Dark Visitor]

Well, obviously I was wrong. No need to rub it in...

Anyways, I am still confused. I don't see what torque has to do with tension. Plus, we don't even have tension. It seems like we still have too many unknowns.