Question

Asked Nov 10, 2019

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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 2.30 m. Following are the values of *g* at each particle's location:

Particle 1: *g* = 8.00 m/s^{2}

Particle 2: *g* = 7.82 m/s^{2}

Particle 3: *g* = 7.60 m/s^{2}

Particle 4: *g* = 7.41 m/s^{2}

Particle 5: *g* = 7.60 m/s^{2}

Particle 6: *g* = 7.82 m/s^{2}

Using the coordinate system shown, find the *y* coordinate *y*_{cog} of the center of gravity of the six-particle system.

Step 1

The Y coordinate *Y*cog of the centre of gravity o...

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