Tension, Angles, Forces Problem

AI Thread Summary
To achieve a net forward force while pulling a boat through a lock, the forces exerted by two crewmen must be balanced. The first crewman pulls with a force of 115 N at a 36° angle, while the second crewman pulls at a 45° angle. The forces must be resolved into their components to ensure that the lateral forces cancel each other out. The discussion emphasizes using cosine functions to calculate the appropriate force for the second crewman, ensuring the net force aligns with the forward direction of the raft. Properly balancing these forces is crucial for effective movement through the lock.
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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