a 600N person picks up a 180 N suitcase positioned so that the suitcase's center of gravity is 20cm lateral to the location of the person's center of gravity before picking up the suitcase. if the person does not lean to compensate for the added load in any way, where is the combined center of gravity location for the person and suitcase with respect to the person's original center of gravity location?

Answer 1

Since w1 = 600N at point O(0,0)
And w2 = 180N at point p(20,0)
Let the coordinate of center of gravity will be (X,Y)= (w1x1 + w2x2)/(w1+w2), (w1y1+w2y2/(w1+w2)
That is equals to (4.61,0). This is the coordinate of CoG . Hence we can say the center of gravity of system lies 4.61cm below center of gravity of man.