so to find when a graph is concave up or down you can use the 2nd derivative rule, but what happends if we have f"(x) = -3(x^2 +3)/(X^2-9)^3
what I am thinking is that we are looking for f"(x)=0 so x^2+3= O but that would give us x=(-3)^1/2...
any thoughts?
The Question is:
A mass M of 5.00×10-1 kg slides inside a hoop of radius R=1.50 m with negligible friction. When M is at the top, it has a speed of 5.65 m/s. Calculate size of the force with which the M pushes on the hoop when M is at an angle of 27.0 degrees.
My workings thus far...