Center of Mass Problems 1. Below is a system of 3 balls with their masses and locations shown. Mark the center of mass on the image below. 1 kg 1 m 1 kg (2) 3 2 kg 1 'm 2. Three balls with masses of 2.5 kg, 3.5 kg, and 1.0 kg are located at coordinates (8.5m,6.0m), (7.0m,3.0m), and (2.0m, 1.0m), respectively, and are connected by massless rods. a. What is the x-coordinate of the center of mass? b. What is the y-coordinate of the center of mass? 3. A sledgehammer has a massive metal head attached to a much lighter wooden handle. Which location is most likely to be the sledgehammer's center of mass? a. Midway along the handle b. At the center of the metal head c. Slightly below the metal head 4. Below are four shapes made from uniform wire. a. Estimate where the center of mass is for each shape and mark its location on the images. b. Discuss the differences between (a) and (d) and between (b) and (c). AULA 5. Does the center of mass have to be within the object? Are there shapes that could force the center of mass outside of the object? If so, give an example.