Variable F Value 12 Units [kN] n 0 6 [Strongmen] [hi n (number of people) A...
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Variable F₁ Value 12 Units [kN] n 0 6 [Strongmen] [hi n (number of people) A known number of competitors (n) in a strongman competition are pulling a rope that is tied to a tree at a height of h₂. Each strongman has a max pulling strength of F(max). They are competing against a truck pulling up on a slope (angle = 8) as shown above. This rope is tied to the tree at a height of h,. The tree has a mass of m and the roots acts as a fixed support. The system is in equilibrium. The goal of the competition is uproot the tree. This can only happen if the total moment caused by the truck and the competitors is greater than the maximum moment the tree can support (M(max) - CW or ACW). F(max) 1.5 [kN] 3) the reaction moment of the tree, [kN-m), (3 sigfig) Given the information in the table above, determine: 1) the reaction force of the tree in the x-direction, [kN], (3 sigfig, including sign: +/-) 2) the reaction force of the tree in the y-direction, [kN], (3 sigfig, including sign: +/-) h₂ jjj h₁ 0.7 [m] L. Fmen h₂ 1.3 [m] M(max) 7 [kN-m] m e g 500 9.81 30 [kg] [degrees] [ms-2] 4) the total number of strongmen that are needed on the team to uproot the tree if the truck maintains its pulling force, [Strongmen], (Whole number) Variable F₁ Value 12 Units [kN] n 0 6 [Strongmen] [hi n (number of people) A known number of competitors (n) in a strongman competition are pulling a rope that is tied to a tree at a height of h₂. Each strongman has a max pulling strength of F(max). They are competing against a truck pulling up on a slope (angle = 8) as shown above. This rope is tied to the tree at a height of h,. The tree has a mass of m and the roots acts as a fixed support. The system is in equilibrium. The goal of the competition is uproot the tree. This can only happen if the total moment caused by the truck and the competitors is greater than the maximum moment the tree can support (M(max) - CW or ACW). F(max) 1.5 [kN] 3) the reaction moment of the tree, [kN-m), (3 sigfig) Given the information in the table above, determine: 1) the reaction force of the tree in the x-direction, [kN], (3 sigfig, including sign: +/-) 2) the reaction force of the tree in the y-direction, [kN], (3 sigfig, including sign: +/-) h₂ jjj h₁ 0.7 [m] L. Fmen h₂ 1.3 [m] M(max) 7 [kN-m] m e g 500 9.81 30 [kg] [degrees] [ms-2] 4) the total number of strongmen that are needed on the team to uproot the tree if the truck maintains its pulling force, [Strongmen], (Whole number)
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