Problem 1E: CONCEPT CHECK Mass and Weight How are mass and weight related? Problem 2E: CONCEPT CHECK Moment The equation for the moment about the origin of a one-dimensional system is... Problem 3E: CONCEPT CHECK Planar Lamina What is a planar lamina? Describe what the center of mass of a lamina... Problem 4E Problem 5E Problem 6E: Center of Mass of a Linear System In Exercises 5-8, find the center of mass of the given system of... Problem 7E: Center of Mass of a Linear System In Exercises 5-8, find the center of mass of the given system of... Problem 8E Problem 9E: Equilibrium of a Linear System In Exercises 9 and 10, consider a beam of length L with a fulcrum... Problem 10E: Equilibrium of a Linear System In Exercises 9 and 10, consider a beam of length L with a fulcrum... Problem 11E: Center of Mass of a Two-Dimensional System In Exercises 11-14, find the center of mass of the given... Problem 12E: Center of Mass of a Two-Dimensional System In Exercises 11-14, find the center of mass of the given... Problem 13E Problem 14E: Center of Mass of a Two-Dimensional System In Exercises 11-14, find the center of mass of the given... Problem 15E: Center of Mass of a Planar Lamina In Exercises 15-28, find Mx, My, and (x,y) for the lamina of... Problem 16E Problem 17E Problem 18E: Center of Mass of a Planar Lamina In Exercises 15-28, find Mx, My, and (x,y) for the lamina of... Problem 19E Problem 20E Problem 21E: Center of Mass of a Planar Lamina In Exercises 15-28, find Mx, My, and (x,y) for the lamina of... Problem 22E: Center of Mass of a Planar Lamina In Exercises 15-28, find Mx, My, and (x,y) for the lamina of... Problem 23E: Center of Mass of a Planar Lamina In Exercises 15-28, find Mx, My, and (x,y) for the lamina of... Problem 24E: Center of Mass of a Planar Lamina In Exercises 15-28, find Mx, My, and (x,y) for the lamina of... Problem 25E: Center of Mass of a Planar Lamina In Exercises 15-28, find Mx, My, and (x,y) for the lamina of... Problem 26E: Center of Mass of a Planar Lamina In Exercises 15-28, find Mx, My, and (x,y) for the lamina of... Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E: Finding the Center of Mass In Exercises 31-34, introduce an appropriate coordinate system and find... Problem 32E Problem 33E: Finding the Center of Mass In Exercises 31-34, introduce an appropriate coordinate system and find... Problem 34E Problem 35E: Finding the Center of Mass Find the center of mass of the lamina in Exercise 31 when the circular... Problem 36E Problem 37E Problem 38E Problem 39E: Finding Volume by the Theorem of Pappus In Exercises 37-40, use the Theorem of Pappus to find the... Problem 40E Problem 41E Problem 42E Problem 43E: EXPLORING CONCEPTS Center of Mass Use rectangles to create a region such that the center of mass... Problem 44E Problem 45E Problem 46E: Centroid of a Common Region In Exercises 45-50, find and/or verify the centroid of the common region... Problem 47E: Centroid of a Common Region In Exercises 45-50, find and/or verify the centroid of the common region... Problem 48E: Centroid of a Common Region In Exercises 45-50, find and/or verify the centroid of the common region... Problem 49E Problem 50E Problem 51E: Graphical Reasoning Consider the region bounded by the graphs of y=x2 and y=b, where b0. (a) Sketch... Problem 52E Problem 53E: Modeling Data The manufacturer of glass for a window in a conversion van needs to approximate the... Problem 54E: Modeling Data The manufacturer of a boat needs approximate the center of mass of a section of the... Problem 55E Problem 56E Problem 57E: Finding a Centroid Let n1 be constant, and consider the region bounded by f(x)=xn, the x-axis, and... Problem 58E: Finding a Centroid Consider the functions f(x)=xnandg(x)=xm on the interval [0,1], where m and n are... Problem 59E: PUTNAM EXAM CHALLENGE Let V be the region in the cartesian plane consisting of all points (x, y)... format_list_bulleted