Tuesday, 21 January 2020

homework and exercises - Solving a problem using Newtonian mechanics and D'Alembert principle


yI have to solve that problem with two methods (applying Newtonian mechanics and the D'Alembert principle.


The problem consists in two balls inside a spherical cylinder, it consists in determine the minimum value of $M$ making the tube not to knock down (where $M$ is the mass of the cylinder and $m$ the masses of the two spheres).



enter image description here


I have issues with both methods. With Newtonian method, I don't know what influence has $M$ on the problem, because I can choose a reference point in the center of the cylinder and there will be no torque. With D'Alembert principle, the problem is I have no idea what virtual displacement I have to choose.


The Newtonian process brings me to this meaningless expression if the normal force acts on the lower right corner. enter image description here




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