2. Finding the Center of Mass A piece of sheet metal is cut into a triangle such that the bottom edge lies along the x-axis and the top edge follows the equation y = 10 x cm. The triangle goes out Top edge has equation: l0cm to x = 10 em. Each square centimeter has a mass of 1.5 Strip of grams. Your task is to nd the 1: component of the center W'd'h \"'1 of mass of this triangle. (a) Find dA. Consider the vertical strip of metal that is between 1' and x + dx. This strip has a width of only dx. What is its height? Use this to find the area. dA, ofthis strip of'metal. dA should be a function ofx and dx. x + dx (b) Find dm. What is the mass of the thin strip whose area you found in part (a)? rim should be a function ofboth x and dx. (c) Find m. What is the total mass of this piece of sheet metal? Express your answer in units of grams. (d) Find the 1: component ofthc object's center of mass