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A 30.0-kg girl in a swing is pushed to one side and held at rest by a horizontal force F (vector) so that the swing

A 30.0-kg girl in a swing is pushed to one side and held at rest by a horizontal force F̅ (vector) so that the swing ropes are 30.0° with respect to the vertical.

(a) Calculate the tension in each of the two ropes supporting the swing under these conditions.

(b) Calculate the magnitude of F̅ (vector).

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