Find Tension in Cables AB and AC?
There are easier waysLook at the label of the can-usually the capacity is listedFill the can with water Empty can into measuring cup and VOILA! you have the volume.
First you need the angle that AB makes with the verticalThis is found from; Tan(1) d/AB .25/4 1 3.576 degNow you focus on the knotThere is a tension T1 up along AB on the knotThere is a Tension T2 down along AC on the knotThere is a weight w5000 N vertically down on the knotSince the knot is at rest the vertical forces must balance and the horizontal forces must balanceThis gives you two eqs: Vertical Forces: T1Cos(3.576) T2Sin(20) + w Horizontal Forces T!Sin(3.576) T2Cos(20) Or T1(.998) T2(.342) + 5000 T1(.062) T2(.94) You have two eqs in the two unknowns, which you can now solve for the two unknowns T1 and T2These are the tensions asked forYou can finish it.
