Tension, Angles, Forces Problem

In summary: Instead, you should have been using the sine function which relates to components across the river. Use the following to deduce the unknown force.In summary, To achieve a net force in the forward direction, the second crewman should pull with a force of F2 = 115 N at an angle of 45° relative to the forward direction of the raft.
  • #1
whoopie88
52
0

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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  • #2
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.
 

Related to Tension, Angles, Forces Problem

1. What is the difference between tension, angles, and forces?

Tension refers to the pulling force exerted by a string, cable, or other similar object. Angles refer to the direction in which two objects or forces are pulling or pushing in relation to each other. Forces refer to any push or pull that causes an object to move or change its motion. They are all related to each other and can affect the overall motion of an object.

2. How do tension, angles, and forces affect objects?

Tension, angles, and forces can affect objects in multiple ways. They can cause an object to accelerate, decelerate, or change direction. They can also cause an object to remain at rest or maintain a constant speed. The magnitude and direction of these factors determine how they will affect an object.

3. How do you calculate tension, angles, and forces in a problem?

To calculate tension, angles, and forces in a problem, you need to use the principles of Newton's laws of motion and trigonometry. First, identify all the forces acting on the object and their respective magnitudes and directions. Then, use trigonometry to calculate the angles between the forces. Finally, use Newton's second law to calculate the net force and tension in the system.

4. What are some real-life examples of tension, angles, and forces?

Some real-life examples of tension include a person pulling on a rope, a car being towed, or a weight being lifted with a string. Examples of angles can be seen in structures such as bridges or cranes, where the angles of support are crucial in determining its stability. Forces can be observed in everyday activities such as pushing a shopping cart, kicking a ball, or lifting a heavy object.

5. How can understanding tension, angles, and forces be useful?

Understanding tension, angles, and forces can be useful in various fields, including engineering, physics, and even sports. It can help engineers design stable structures, assist physicists in predicting and explaining the motion of objects, and aid athletes in optimizing their performance by understanding the forces acting on their bodies.

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