Tension, Angles, Forces Problem

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SUMMARY

The problem involves two crewmen pulling a boat through a lock, where one crewman exerts a force of F1 = 115 N at an angle of θ = 36° and the second crewman pulls at an angle of 45°. To achieve a net force directed forward, the second crewman must apply a force F2 that balances the horizontal components of both forces. The solution requires using trigonometric functions to resolve the forces into their components along the canal.

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whoopie88
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Homework Statement


Two crewmen pull a boat through a lock, as shown in Figure 5-25. One crewman pulls with a force of F1 = 115 N at an angle of θ = 36° relative to the forward direction of the raft. The second crewman, on the opposite side of the lock, pulls at an angle of 45°. With what force F2 should the second crewman pull so that the net force of the two crewmen is in the forward direction?

05-22alt.gif



Homework Equations


All Forces Equations.


The Attempt at a Solution


1499khy.jpg
 
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whoopie88 said:

Homework Statement


Two crewmen pull a boat through a lock, as shown in Figure 5-25. One crewman pulls with a force of F1 = 115 N at an angle of θ = 36° relative to the forward direction of the raft. The second crewman, on the opposite side of the lock, pulls at an angle of 45°. With what force F2 should the second crewman pull so that the net force of the two crewmen is in the forward direction?

05-22alt.gif



Homework Equations


All Forces Equations.


The Attempt at a Solution


1499khy.jpg

For the net force to be along the canal, the components of force across the river have to be equal.
You were using cos function which would relate to components along the canal.
 

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