2. A thin, flat metal plate is has an area bounded by yx and y- 4x025(units are in meters). The specific weight is 489 kg/m3and the plate thickness is 2mm. a. Find the y centroid. [2.44-m] b. Find the mass moment of inertia about the y-axis. [5.53 kg-m2]

Suppose I coat a circular washer (shown below) which as inner radius 1 cm and outer radius 3 cm with a thin layer of wax according to the wax density function: 20 -3x3 -Зу grams W(x, y) = cm? How many grams of wax did I use in total?

A thin metal plate covers the 1-st quadrant area bounded by y = 8x and y = 2x a) Sketch the bounded area; show the vertical and horizontal elements of the area with dimensions and the corresponding arm lengths. Present the areas of both rectangles as differentials. b) Find the area of the plate using either element.

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