Because g varies so little over the extent of most structures, any structure's center of gravity effectively coincides with its center of mass. Here is a fictitious example where g varies more significantly. The figure shows an array of six particles, each with mass m, fixed to the edge of a rigid structure of negligible mass. The distance between adjacent particles along the edge is 1.40 m. Following are the values of g at each particle's location: Particle 1:g-7.94 m/s² Particle 2: g = 7.87 m/s² Particle 3: g -7.67 m/s² Particle 4: g = 7.48 m/s² Particle 5: g = 7.67 m/s² Particle 6: g = 7.87 m/s² Using the coordinate system shown, find (a) the x coordinate Xcom and (b) the y coordinate ycom of the center of mass of the six-particle system. Then find (c) the x coordinate Xcog and (d) the y coordinate y cog of the center of gravity of the six-particle system. 3 2 6 -x

Because g varies so little over the extent of most structures, any structure's center of gravity effectively coincides with its center of mass. Here is a fictitious example where g varies more significantly. The figure shows an array of six particles, each with mass m, fixed to the edge of a rigid structure of negligible mass. The distance between adjacent particles along the edge is 1.40 m. Following are the values of g at each particle's location: Particle 1:g-7.94 m/s² Particle 2: g = 7.87 m/s² Particle 3: g -7.67 m/s² Particle 4: g = 7.48 m/s² Particle 5: g = 7.67 m/s² Particle 6: g = 7.87 m/s² Using the coordinate system shown, find (a) the x coordinate Xcom and (b) the y coordinate ycom of the center of mass of the six-particle system. Then find (c) the x coordinate Xcog and (d) the y coordinate y cog of the center of gravity of the six-particle system. 3 2 6 -x