1. The problem statement, all variables and given/known data Your car is smelly so you've placed a Little Trees air freshener in your rear view mirror. You begin to turn around a corner of radius R and the little tree starts to make an angle θ from the vertical. What is the angle θ as a function of the speed v and and radius R? 2. Relevant equations radial acceleration= v2/R 3. The attempt at a solution So I began by drawing a triangle with the hypotenuse representing the tension vector, T, at an angle of Θ from the vertical. I represented the opposite side TsinΘ and the adjacent side as TcosΘ. I then calculated the net forces on the little tree... ∑Fy=TcosΘ-mg=0 ∑Fx=TsinΘ=ma I figured that a here represents the radial acceleration, so I let a= v2/R. Because there is no y movement, I ignored y axis forces. So I changed the equation to be: TsinΘ=mv2/R This is sort of where I ran into trouble. So I can't have T in the equation so I substituted in T=mg/cosΘ from the y equation. When I plug this into the primary equation, I end up having after cancellation: gtanΘ=v2/R. I further simplified this to give me the desired function: arctan(v2/Rg)=Θ I'm not sure if I did it correctly because I have g left in the final equation, and I'm not sure how to get it out. This is my first post on this website, I am teaching myself intro mechanics over the summer and I found this off of a university's old exam and there is no solutions guide, so any confirmation or correction of my solution would be much appreciated. Thanks!