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

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

 left cable N right cable N bottom cable N
May 31st, 2015

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

May 31st, 2015

May 31st, 2015

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

May 31st, 2015

ok thanks

May 31st, 2015

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May 31st, 2015
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May 31st, 2015
Sep 23rd, 2017
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