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the moment of inertia of a lollypop of mass 10 Alee, Chris and Dustin want to pl

ID: 1616190 • Letter: T

Question

the moment of inertia of a lollypop of mass 10 Alee, Chris and Dustin want to play in a see-saw. Alee wants to be by herself on one end of the see-saw so they decide to use a heavy backpack as counter weight. The see-saw is 5.00m long and Alee, whose mass is 100lb, sits on the left side, Chris, whose mass is 180lb, sits on the right side, 1.50m from the center: Dustin, whose mass is 160lb, sits 0.50m from the center. Where should the 40lb backpack be placed, so that the see-saw is perfectly balanced?

Explanation / Answer

let x is the distance from center where backpack is to be placed.

Torque due to Alee and Dustin = Torque due to Chris and bakpack

100*2.5 + 160*0.5 = 180*1.5 + 40*x

x = (100*2.5 + 160*0.5 - 180*1.5)/40

= 1.5 m <<<<<<<<--------------Answer