Please carry your intermediate computations to 4 decimal places. Round your fina

Question

Please carry your intermediate computations to 4 decimal places. Round your final answers to the nearest tenth. Thanks.

On a movie production lot, boxes of supplies are transported between two stations by a cable lift. While carrying a box weighing 43 N, the lift stops, as shown in the figure below. Find the tension in the left part of the cable (between Station A and the box), and find the tension in the right part of the cable (between Station B and the box). Carry your intermediate computations to at least 4 decimal places. Round your final answers to the nearest tenth. Tension in left part of cable: N Tension in right part of cable: N

Explanation / Answer

let the tension in the right cable is Tr

tension in the left cable is Tl

balancing the forces in vertical direction

Tr * sin(25) + Tl * sin(15) = 43 -----(1)

in horzontal direction

Tr * cos(25) - Tl * cos(15) = 0 ---(2)

solving 1 AND 2

Tr = 64.6 N

Tl = 60.6 N

the left cable tension is 60.6 N

tension in the right cable is 64.6 N

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