Question

A seesaw consisting of a uniform board of mass and length supports at rest a father and daughter with masses my and respectively, as shown in the figure. The support (called the futrum) is under the center of gravity of the board, the father is a distance from the center, and the daughter is a distance from the center A balanced system ME (a) Determine the magnitude of the upward forcen exerted by the support on the board SOLUTION Conceptualize Let us focus our attention on the board and consider the gravitational forces on the father and daughter as forces applied directly to the board. The daughter woulouse Select rotation of the board around the support, whereas the father would caused Categorie Because the text of the problem states that the system is at rest, we model the board as a rigid object in Select Because we will only need the first condition of equilibrium to solve this part of the problem, however, we could also simply model the board wie in einem Analyze (Use the following as necessary: me, and .) Define upward as the positive y dvection and substitute the forces on the board into the equation to - Solve for the magnitude of the forcen

Answer 1

Solo Lion Conceptualize clock-wise - (daughter) ffalter) - Gunter dockwise rotation categorize object in equilibrium Analyze n-mig- mdg- o magas het of force in: no megt magt Mg - (nytnatting Solution Categorie: epalbrim) Analyze zelo Mfg)(d) - (m_g) (42)=0 d = (md/mf) 1/2

& Proner =0 42 42 47(0) (3:9/2) + 2696)(2) - mg (3.9/2) 41(195) + 312 = m (1-95) m = 163 kg m N - 4719) +2619) + 10(9)+3(98) (1430.8N