(a) Find the tension in each cable supporting the 648 -N cat burglar. (Assume th
ID: 2169186 • Letter: #
Question
(a) Find the tension in each cable supporting the 648-N cat burglar. (Assume the angle ? of the inclined cable is 36.0?.)
(b) Suppose the horizontal cable were reattached higher up on the wall. Would the tension in the inclined cable increase, decrease, or stay the same?
Explanation / Answer
The tension in the vertical cable is equal to the weight of the burglar, T3 = 648N. Call the horizontal cable T2 and the inclined cable T1. From Newton’s 2nd law the forces acting vertically are: ?F(x) = 0 = T1cos? - T2 T2 = T1cos?--------------->(1) The forces vertically (ignoring T3) are: ?F(y) = 0 = T1sin? - w T1 = w / sin? = 648N / sin36.0° T1 = 1040N (rounded from 1037N)---------->(2) Plugging (2) into (1): T2 = T1cos? = 1040Ncos36.0° = 862N Hope this helps. b=increase
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