Question

A 160-N child sits on a light swing and is pulled
back and held with a horizontal force of 100N. The magnitude of the tension
force of each of the two supporting ropes is

Answer 1

Question #72203, Physics / Other

A 160-N child sits on a light swing and is pulled back and held with a horizontal force of 100N. The magnitude of the tension force of each of the two supporting ropes is

Solution

$T$ represents total tension in both supporting ropes.

$$\begin{array}{l} \sum F _ {x} = 0; \sum F _ {y} = 0 \\ - 1 0 0 + T \cos \theta = 0; \\ - 1 6 0 + T \sin \theta = 0 \\ T = \sqrt {1 0 0 ^ {2} + 1 6 0 ^ {2}} = 1 8 9 \mathrm {N} \\ \end{array}$$

The tension in each of the ropes is equal to $0.5T = 94.5$ N

Answer: 94.5 N

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