Finding Velocity and Pressure of Half-Sphere on Horizontal Plane

Nea
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Homework Statement


The half a sphere with a 'm' mass and 'r' radius is equilibrated on a plan absolutely polished horizontal with the side of the AB wire. So the surface of the half a sphere has with the horizontal plan an alpha angle. Find, after the break of the wire, the velocity of the O center and her maximal value too, also the maximal value of the pressure of the half-sphere over the horizontal. Find that for small angles it behaves like a mathematical pendulum.
Illustration:
http://img135.imageshack.us/img135/9526/fiz1rf6.th.jpg

Homework Equations





The Attempt at a Solution



I think that the lagrange's equations can be employed to solve it.
 
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Hello.

I think that using Lagrange's methods won't help you. The best you can do is using Newton... use vectors!

Regards.
 
I would use Newton as well but I think it will take some work to draw the components and figure out which contributes to the torque in which way
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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