A 126.2-N bird feeder is supported by three cables as shown in the figure below.

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

May 31st, 2015

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

sumof fy=t1-126.2n=0 or t1=126.2 since it must support the weight of the birdhouse so bottom is 126.2

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 126.2 we get 0.5t2+.86666t3=126.2N

sub 1 into 2 

[0.500+.8666*1.73]t2=126.2=t2=63.121N in the right wire

t3=1.73*63.121 =109.199 in the left wire


May 31st, 2015

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May 31st, 2015
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