Chapter 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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Asked Nov 5, 2019
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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
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6
(a) Number
Units
(b) Number
Units
(c) Number
Units
(d) Number
Units
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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

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Expert Answer

Step 1

The edge length is given as 1.90m.let the coordinates can be represented as.

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Step 2

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

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Step 3

(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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