Forces Equillibrium Problem

Determine the maximum weight of the flowerpot that can be supported without exceeding a cable tension of 50 lb in either cable AB or AC. Note that the 2 cables make an angle 60 and 53.1 respectively with the horizontal

Fxnet=TABcos60-TACcos53.1 =0

Fynet-TABsin60+TACsin53.1-W=0

I dont know how to figure out if 50lb is the tension in cable AB or in AC

does the more vertical cable have the higher tension why?

Re: Forces Equillibrium Problem

Quote:

Originally Posted by **myoplex11**

Determine the maximum weight of the flowerpot that can be supported without exceeding a cable tension of 50 lb in either cable AB or AC. Note that the 2 cables make an angle 60 and 53.1 respectively with the horizontal

Fxnet=TABcos60-TACcos53.1 =0

Fynet-TABsin60+TACsin53.1-W=0

I dont know how to figure out if 50lb is the tension in cable AB or in AC

does the more vertical cable have the higher tension why?

If you rearrange your first equation you find that the ratio of TAB to TAC is cos53.1/cos60, which means that TAB is 1.2 times TAC. Therefore AB has to be the one with 50 lb tension, and this is the more vertical cable.