Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the positive x-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive x-axis.. With what tension and direction (with respect to the positive x -axis) should the third rope pull so that the object has an acceleration of zero? (Ignore any and all forces other than the ropes). Show your work!

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Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the
positive x-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive x-axis..
With what tension and direction (with respect to the positive x -axis) should the third rope pull so that the
object has an acceleration of zero? (Ignore any and all forces other than the ropes). Show your work!
Transcribed Image Text:Three ropes are pulling a box. Rope 1 has a tension of 40.0 N and makes an angle of 30° with respect to the positive x-axis. Rope 2 has a tension of 80.0 N and makes an angle of 105° with respect to the positive x-axis.. With what tension and direction (with respect to the positive x -axis) should the third rope pull so that the object has an acceleration of zero? (Ignore any and all forces other than the ropes). Show your work!
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