(Solved): In your first assignment as Chief Dessert Engineer for the United Cookie Corporation, you design a ...

In your first assignment as Chief Dessert Engineer for the United Cookie Corporation, you design a cookie whose interior is a layer of marshmallow surrounded by a ring of chocolate. The top and bottom are round graham crackers, to which the marshmallow and chocolate are attached securely. After the graham crackers are attached, and the entire cookie is in equilibrium at $10^{?}\mathrm{C}$, there is no stress in the marshmallow or chocolate. The chocolate will separate from the graham cracker if the (vertical) tensile stress in the chocolate exceeds $1.3\times 10^3\mathrm{Pa}$. What is the maximum temperature increase the cookies can withstand without the chocolate separating? Marshmallow: $Y=1.0\times 10^4\mathrm{Pa},?=0.0025{\mathrm{K}}^{?1}$ Chocolate: $Y=1.5\times 10^5\mathrm{Pa}$ and $?=0.0010{\mathrm{K}}^{?1}$ Assume the graham cracker does not bend and ignore effects related to expansion in the horizontal directions. Homework tips: It's usually very helpful to start by drawing before/after pictures and labeling with the