Solution - V Track

The component of ball's weight parallel to the track is

The ball is moved because of this component of ball's weight. But, as the ball moves, there are friction forces working on opposite direction.Hence, total force working on the ball that is parallel to the track is

And now consider the forces that is not parallel to the track. Because the ball moves parallel to the track, the resultant forces that is not parallel to the track is zero. See picture below.

Because the ball slips on one side of the track and almost slips on the another side, we can say that

and

Now use equation (1) to get acceleration of CM.

Substitute the equation above to equation (1), and also substitute f1 and f2 from equation (3) and (4),

Now, we need to find the angular acceleration. I will use picture to make it easier to imagine.
The angular acceleration of the ball is caused by two friction forces (f1 causes α1 and f2 causes α2), where

and

Substitute for f1 and f2, and we can get

The ball does not slip with the right plane, so acceleration of the contact point at the right plane must be zero. From picture, we can get the acceleration of the contact point A.

Hence,

Solving equation (8) using equation(5), (6), and (7), and we get the result:

where

That's my solution.
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Thank you.