Find the differential equation and velocity

[Alexiy]

Homework Statement

Homework Equations

3. The Attempt at a Solution [/B]

Hello guys,I posted images since its easier to write equations.Please can someone help me check this, if this is correct so far, then i should be able to find the velocity at C, using kinetic energy?

 

[Chestermiller]

Looks good to me.

 

[Alexiy]

Looks good to me.

Edit: Work done from A to C is the difference of the potential energy between these two points, am i wrong?

 

[Alexiy]

By the way in the problems text i translated R as circumference, but its actually a radius R.

 

[Chestermiller]

In my judgment, you did all this correctly. I think you should have more confidence in your ability. Your analysis was very nice, perceptive, and mathematically talented.

Chet

 

[Alexiy]

In my judgment, you did all this correctly. I think you should have more confidence in your ability. Your analysis was very nice, perceptive, and mathematically talented.

Chet

Thank you very much Chet, I can't help it,I always had some difficulties to translate "physics thoughts" into math language so maybe I am overly cautious, sometimes i even waste time writing code for motion simulations to make sure something behaves like its supposed to, but it seems I'm getting the hang of it.Thanks again for your support.