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Please help me solve this centre of mass question. Please refer to the image attached for ease. We want to compute the centre of mass

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Please help me solve this centre of mass question. Please refer to the image attached for ease.

image text in transcribed
We want to compute the centre of mass (or centroid) of the region R enclosed by the curves y = x - 6 and y = -1x. All lengths are measured in cm. We assume that the density of this flat region is constant to 5 gr/cm2. FORMATTING: All responses require exact numerical answers. a) Find the x-coordinate of each of the points of intersection of these two curves. Answer: FORMATTING: List your values separated by semicolons (;). b) Find the mass M of the region R. M = Number c) Find the moment My of the region R about the y axis. My = Number d) Find the moment Ma of the region R about the x axis. Max = Number e) Finally, compute the coordinates x, y of the centre of mass of the region R. c = Number 7 = Number

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