Alee, Chris and Dustin want to play in a see-saw. Alee wants to be by herself on

Question

Alee, Chris and Dustin want to play in a see-saw. Alee wants to be by herself on one end is see-saw so they decide to use a heavy backpack as counter weight. The see-saw whose (total length) long Alee, whose mass is 120lb. sits on the left side; Chris is mass is sits on the right side, 1.50m from the center, Dustin, whose mass 160lb, sits 1.00m from the center. Where should the 40lb backpack be placed, so that the see-saw is perfectly balanced? (2.2lb = 1kg). Draw all the forces acting on the system and the correct point of action of each force. (This means clearly identify the position for each force.) Write the torque equation for the system, considering your pivot point to be the pivot of the see-saw. Make sure use t correct sign for each torque. Use x for the position of the backpack (your unknown.) Find the exact position of the backpack to generate balance.

Explanation / Answer

writing equation of summation of torque: ( taking the pivot to be center of see - saw,i.e 2.5 m from each side)

120 ( 2.5) +   40 ( x)= 150 (1.5) + 160 (1)

40x = 385- 300

x= 2.125 m ( from the center on the left side of the see saw)

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