Two children hang their hands from the same tree branch . The branch is straight

Question

Two children hang their hands from the same tree branch . The branch is straight and grows out from the tree trunk at an angle of 27 degrees above the horizontal. One child has a mass 44kg,is hanging 1.30m along along the brannch from the tree trunk. The other child with a mass of 35kg is haging 2.10m from the tree trunk . What is the magnitude of the net torqueexerted on the branch by the children?Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the place formed by the branch and the trunk.

Explanation / Answer

m1=44kg     ,r1=1.3cos27

m2=35kg      ,r2=2.1cos27

=m1gr1+m2gr2=44*9.8*1.3cos27+35*9.8*2.1cos27

                          =499.46+641.79

                          =1141.25N-m

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