Thank you all for your comments. To sum up I will add some diagrams to illustrate what I am dealing with. First of all the slope and the loop.
We need to consider the position of our ball at the height of 1.5R. To my mind the distribution of the forces would look as follows
Here Q is the...
Hello everyone! I tried to solve this problem in a non-inertial system. Probably I should use the principle of conservation of mechanical energy in the following form
$$mgH = \frac{3mgR}{2} + \frac{mV^2}{2}.$$
So the only thing to do is to compute $V^2$. I tried to find this value using the...