Tension in rope after cutting · CAP 2015 #1

Physics · mechanics

Problem

As shown in the picture, a ball is attached to a ceiling and a wall with massless ropes A and B. Rope A is at angle θ from the vertical direction, and rope B is horizontal. The system is static. If rope B is cut, what is the ratio of the tension in rope A immediately after it is cut to the tension in A before it is cut? a) 1 b) cos⁡θ\cos\theta c) 1/cos⁡θ1/\cos\theta d) cos⁡2θ\cos^2\theta e) cos⁡θsin⁡θ\cos\theta\sin\theta

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