Answer:
the answer is below
Explanation:
The diagram of the problem is given in the image attached.
Mass of rod AB = (0.4 m + 0.4 m) * 3 kg/m = 2.4 kg
Mass of rod OC = (1.5 m) * 3 kg/m = 4.5 kg
Mass of plate = 10 kg/m²[ (π* 0.3²) - (π* 0.1²)] = 2.513 kg
The center of mass is:
![\hat{y}[2.4+2.513+4.5]=(0.75*4.5)+(2.513*0.5)\\\\\hat{y}=0.839\\\\I_{AB}=\frac{1}{12}*2.4*(0.4+0.4)^2= 0.128\ kg/m^2\\\\I_{OC}=\frac{1}{12}*4.5*(1.5)^2= 3.375\ kg/m^2\\\\I_{Gplate}=\frac{1}{2}*(\pi*0.3^2*10)*(0.3)^2-\frac{1}{2}*(\pi*0.1^2*10)*(0.1)^2= 0.126\ kg/m^2\\\\I_{plate}=I_{Gplate}+md^2=0.126+2.513(1.8^2)=8.27\ kg/m^2\\\\I_o=I_{plate}+I_{AB}+I_{OC}\\\\I_{o}=0.128+3.375+8.27=11.773\ kg/m^2 \\\\I_G=I_o-m_{tot}\hat{y}^2\\\\I_G=11.773-(9.413*0.839^2)\\\\I_G=5.147\ kg/m^2](https://tex.z-dn.net/?f=%5Chat%7By%7D%5B2.4%2B2.513%2B4.5%5D%3D%280.75%2A4.5%29%2B%282.513%2A0.5%29%5C%5C%5C%5C%5Chat%7By%7D%3D0.839%5C%5C%5C%5CI_%7BAB%7D%3D%5Cfrac%7B1%7D%7B12%7D%2A2.4%2A%280.4%2B0.4%29%5E2%3D%200.128%5C%20kg%2Fm%5E2%5C%5C%5C%5CI_%7BOC%7D%3D%5Cfrac%7B1%7D%7B12%7D%2A4.5%2A%281.5%29%5E2%3D%203.375%5C%20kg%2Fm%5E2%5C%5C%5C%5CI_%7BGplate%7D%3D%5Cfrac%7B1%7D%7B2%7D%2A%28%5Cpi%2A0.3%5E2%2A10%29%2A%280.3%29%5E2-%5Cfrac%7B1%7D%7B2%7D%2A%28%5Cpi%2A0.1%5E2%2A10%29%2A%280.1%29%5E2%3D%200.126%5C%20kg%2Fm%5E2%5C%5C%5C%5CI_%7Bplate%7D%3DI_%7BGplate%7D%2Bmd%5E2%3D0.126%2B2.513%281.8%5E2%29%3D8.27%5C%20kg%2Fm%5E2%5C%5C%5C%5CI_o%3DI_%7Bplate%7D%2BI_%7BAB%7D%2BI_%7BOC%7D%5C%5C%5C%5CI_%7Bo%7D%3D0.128%2B3.375%2B8.27%3D11.773%5C%20kg%2Fm%5E2%20%5C%5C%5C%5CI_G%3DI_o-m_%7Btot%7D%5Chat%7By%7D%5E2%5C%5C%5C%5CI_G%3D11.773-%289.413%2A0.839%5E2%29%5C%5C%5C%5CI_G%3D5.147%5C%20kg%2Fm%5E2)
Their cognitive skills and their ability to learn
Yes because if they are further away it makes it hard for them to attract each other