This would be our free body diagram or the sketch of the system essentially yet for party and additionally, we have MG. This would be equaling 90.0 kilograms multiplied by 9.80 meters per second squared and this is giving us 882 Newton's. We then have lower case M G. The smaller mass of 55 kilograms multiplied by 9.80 meters per second squared and this is giving us 539 Newton's Now, at this point, we can say for part B. We know that, um when woman is at X equals zero and someone is greatest. We know that women woman is exerting Max counterclockwise torque again at X equals zero. So essentially and someone will be exerting its maximum clockwise to work at that about the center in order to hold the beam in rotational equilibrium or staticky kilograms. So get this would be given that the torque is equaling zero, so four parts see, then we know that as the woman walks to the right along the beam, she'll eventually reach a point where the beam will actually start to rotate clockwise, so her counter clockwise rotation. Ah, diminish her counterclockwise. Torque diminishes as she as she walks right along the beam. So here, uh, once bebe begins to rotate, uh, we can say the beam will start two. Lift. Uh, it's left most we could say a tipping point. And essentially, what that means is that the normal force will will eventually decrease to zero. So answered one well equals their own new tenants. Four part D. We know that when the beam is right about the tip, the son of the forces in the UAE direction is equaling zero, and the normal force of one is equaling zero. So this is essentially giving us that ends up to minus mg minus lower case M G's equaling zero therefore, and Sub two is equaling MG plus mg. And this is giving us 882 Newton's plus 539 Newton's. This is giving us 1420 Newton's approximately. We have to round 23 significant figures because we can't be more accurate than three significant figures. Four Part e men. We know that at the right most pivot, we could say that some of the two works at the right, most of it will equal zero. And so at this point we know that Ah again and someone is equaling zero and we can say that then. Negative 4.0 meters brother minus x multiplied by M G minus 4.0 meters minus 3.0 meters multiplied by capital M G is equaling zero the larger mess. And so we could then say that M g X is equaling 1.0 meters multiplied by G. And then this would be plus 4.0 meters multiplied by the smaller mass times acceleration due to gravity. We can then say that axe is gonna be equaling 1.0 meters multiplied by AM over Emma plus 4.0 meters. And so this is gonna be equaling 1.0 meters multiplied by 90.0 kilograms, divided by 55.0 kilograms plus 4.0 meters. And we'll put it here. X is gonna equal 5.64 meters again. We have to round 23 significant figures, So that would be your final answer for Part E and finally, for part F. We know that when an equals went and someone equal zero and Step two is equaling, we could say 1.42 times 10 to the third Newton's or again 1420 Nunes either one. And we know that. Then the sum of the torque at the left end is equaling zero and this will give that zero minus 539. Newton's well supplied by X minus 882 Newton's multiplied by three meters plus and that here is 1.42 times 10 to the third. New tenants multiplied by 4.0 meters. This all is equally zero and so here X is equaling negative 3.3 times 10 to the third Newton meters. And this would be divided by, of course, 500 rather negative. 539 Newtons. This is equaling 5.62 meters. This would be our final answer. Four part F. And this 5.62 meters, as you can see, is very close to 5.64 meters. So with rounding errors, it's pretty much the same answer the answer to party is going to be the same answer. To part that is the end of the solution. Thank you for watching.