Question #ce495

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Answer 1 · 2016-04-28T16:59:39

69.3N

The diagram below will help
enter image source here

The system is in equilibrium so the vertical and horizontal force must balance.

Considering vertical forces:

#T1*cos50+T2*cos45=mg#

#mg=10*9.81=98.1N#

And Horizontal force

#T1*sin50=T2*sin45#

Rearranging
#T2=T1*sin50/sin45#
And substituting this into the first equation

#T1*cos50+T1**sin50/sin45*cos45=98.1#

#T1(cos50+sin50/sin45*cos45)=98.1#

Solving gives #T1=69.63N#