![[Freshman university mechanics - pseudo forces]](https://preview.redd.it/eoc26shn00ih1.png?auto=webp&s=9c1364812127df25531fb2a29c64b7b9aa104106)
[Freshman university mechanics - pseudo forces]
Question: We have a trolly accelerating a meters per second square. The trolly is filled with a viscous liquid resisting motion by a factor of b (that is to say, exerting a force bv opposite to v, where v is the object's velocity with respect to the liquid). In the trolly, there is a slope with angle alpha radians to the floor of the cart, on which there is an object of mass m connected to a spring with a constant k. Gravity is obviously acting - mg towards the floor of the trolly we have to calculate the normal force exerted by the slope. See the first picture.
Here is my attempt: See second image
Red is viscosity, purple is the spring, green is d'alembert force, blue is gravity, and N is normal.
I flip the diagram by alpha radians to get the third image, and from here it's just decomposing the forces and a quick calculation. I was quite sure in myself but each of my friends I show it to has a different opinion on the pseudoforces and the decomposition. I got (mg-ma)sin(alpha), but nobody else got that result, can someone please confirm or explain to me where I am wrong? Because my friends aren't very coherent