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Social ScienceChapter 12, Problem d01Because 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 afictitious 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 ofnegligible mass. The distance between adjacent particles along the edge is 1.90 m. Following are the values of g at each particle's location:Particle 1: g =8.03 m/s2Particle 2: g = 7.71 m/s2Particle 3: g= 7,68 m/s2Particle 4: q 7,47 m/s2Particle 5: q= 7.68 m/s2Particle 6: g = 7.71 m/s2Using 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. Thenfind (c) the x coordinate x and (d) the y coordinate y of the center of gravity of the six-particle system4526(a) NumberUnits(b) NumberUnits(c) NumberUnits(d) NumberUnits
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Chapter 12, Problem d01 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 1.90 m. Following are the values of g at each particle's location: Particle 1: g =8.03 m/s2 Particle 2: g = 7.71 m/s2 Particle 3: g= 7,68 m/s2 Particle 4: q 7,47 m/s2 Particle 5: q= 7.68 m/s2 Particle 6: g = 7.71 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 x and (d) the y coordinate y of the center of gravity of the six-particle system 4 5 2 6 (a) Number Units (b) Number Units (c) Number Units (d) Number Units
Expert Answer
The edge length is given as 1.90m.let the coordinates can be represented as.
The weight of six particles.
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mg (8.03m)m/s w2mg2 (87.71m)m/s Wmg (7.68m)m/s w4mg (7.47m)m/s w mgs (7.68m)m/s (7.71m)m/s
(a)The value of xcom...
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тх, + тx, + тx,+ mx, t mxs + mхx, Xcom m+m+mm+m+m 0+0+0+1.91.9+1.9 6 0.95m
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