## Essential University Physics: Volume 1 (3rd Edition)

The center of mass of a cone is 1/4 of its height from the base. We know that the cone will top when the center of mass is over the corner of the cone, which is h/6 away from its center. Thus: $\theta = tan^{-1}(\frac{h/6}{h/4})=33.69^{\circ}$ We see when the cone will slide: $\theta = tan^{-1}(.63)=32.21^{\circ}$ The cone will slide first.