Question

A barge is pulled by the two tugboats shown in the following figure. One tugboat pulls on the barge with a force of magnitude 4000 units of force at $15^{\circ}$ above the line $\mathrm{AB}$ (see the figure and the other tugboat pulls on the barge with a force of magnitude 5000 units of force at $12^{\circ}$ below the line AB. Resolve the pulling forces to their scalar components and find the components of the resultant force pulling on the barge. What is the magnitude of the resultant pull? What is its direction relative to the line AB?

          A barge is pulled by the two tugboats shown in the following figure. One tugboat pulls on the barge with a force of magnitude 4000 units of force at $15^{\circ}$ above the line $\mathrm{AB}$ (see the figure and the other tugboat pulls on the barge with a force of magnitude 5000 units of force at $12^{\circ}$ below the line AB. Resolve the pulling forces to their scalar components and find the components of the resultant force pulling on the barge. What is the magnitude of the resultant pull? What is its direction relative to the line AB?

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Added by Alexis C.

University Physics Volume 1

Samuel J. Ling, Jeff Sanny, William… 1st Edition

Chapter 2

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Solved by Expert Donald Albin

07/31/2021

Step 1

For the first tugboat (4000 units of force at 15° above AB), we can find the horizontal and vertical components as follows: Horizontal component: $4000 \cos{15°} \approx 3862$ units of force Vertical component: $4000 \sin{15°} \approx 1039$ units of force For Show more…

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A barge is pulled by the two tugboats shown in the following figure. One tugboat pulls on the barge with a force of magnitude 4000 units of force at $15^{\circ}$ above the line $\mathrm{AB}$ (see the figure and the other tugboat pulls on the barge with a force of magnitude 5000 units of force at $12^{\circ}$ below the line AB. Resolve the pulling forces to their scalar components and find the components of the resultant force pulling on the barge. What is the magnitude of the resultant pull? What is its direction relative to the line AB?

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