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a 66 kg construction worker is standing on an 18 kg plank. The plank is 3.5 m lo

ID: 1353377 • Letter: A

Question

a 66 kg construction worker is standing on an 18 kg plank. The plank is 3.5 m long and it is suspended by vertical cables at each end. if the worker stands 2.8 from the right end of the plank, what is the tension in the right cable? give answer in newtons and 3 significant figures a 66 kg construction worker is standing on an 18 kg plank. The plank is 3.5 m long and it is suspended by vertical cables at each end. if the worker stands 2.8 from the right end of the plank, what is the tension in the right cable? give answer in newtons and 3 significant figures a 66 kg construction worker is standing on an 18 kg plank. The plank is 3.5 m long and it is suspended by vertical cables at each end. if the worker stands 2.8 from the right end of the plank, what is the tension in the right cable? give answer in newtons and 3 significant figures

Explanation / Answer

As the plank is in equilibrium, net force and net torque acting on the plank must be zero.


Let TR is the tensio in the right cable.

Apply Net torque about left end = 0


-66*9.8*(3.5 - 2.8) - 18*9.8*3.5/2 + TR*3.5 = 0


TR = (66*9.8*(3.5 - 2.8) + 18*9.8*3.5/2)/3.5

= 218 N <<<<<----------Answer

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