A 170.6-N bird feeder is supported by three cables as shown in the figure below. Find the tension in each cable.

Im going to assume that it is a triangle set up with one cable holding the birdhouse

sumof fy=t1-170.6n=0 or t1=170.6 since it must support the weight of the birdhouse so bottom is 170.6

as for t2 we assume that this is the right cable and is at 30 degrees so t2cos30-t3cos 60=0

t2sin30+t3sin60-t1=0

t3=cos30/cos60 *t2= 1.73t since these must also equal 170.6 we get 0.5t2+.86666t3=170.6N

sub 1 into 2

[0.500+.8666*1.73]t2=170.6=t2=85.32844773 in the right wire

t3=1.73*85.23844773 = 147.4625145729N in the left wire

Yes i used that as my figure since it was the same as i had when i was doing it

ok thanks

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