Newton's 3rd Law: Tilted Axes

  • Thread starter HydroMarioUSA
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In summary, the problem involves a pulley with one side hanging (A) and the other on an inclined plane (B). The masses of blocks A and B are 15 kg and 17 kg, respectively, and the angle of elevation of the inclined plane is 32 degrees. The objective is to find the frictional force on block B. To solve this problem, you need to sum up the forces acting on each block, as the overall force must be zero due to constant velocity. Drawing free body diagrams for both blocks can help to visualize and solve the problem.
  • #1
HydroMarioUSA
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See the screenshot for the full problem.

1. Homework Statement

We're given a pulley with one side hanging (A) and the other on an inclined plane (B). We are also given that the mass of A is 15 kg and the mass of B is 17 kg. The angle of elevation of the inclined plane is 32 degrees. The problem asks us to find the frictional force on block B.

Homework Equations


Since ΣF = 0, we need to sum up the forces somehow. (because of constant velocity)

The Attempt at a Solution


I tried drawing force diagrams for both blocks, but I can't figure out how to incorporate tension into that.
 

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  • #2
What forces are acting on block A?
 
  • #3
Draw free body diagrams for both blocks. Upload them so we can see your attempt.
 
  • #4
HydroMarioUSA said:
See the screenshot for the full problem.

1. Homework Statement

We're given a pulley with one side hanging (A) and the other on an inclined plane (B). We are also given that the mass of A is 15 kg and the mass of B is 17 kg. The angle of elevation of the inclined plane is 32 degrees. The problem asks us to find the frictional force on block B.

Homework Equations


Since ΣF = 0, we need to sum up the forces somehow. (because of constant velocity)

The Attempt at a Solution


I tried drawing force diagrams for both blocks, but I can't figure out how to incorporate tension into that.
Here's the full size image.
9-png.png


Your statement of the problem could be more complete,
 

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    9-png.png
    18.5 KB · Views: 247

1. What is Newton's 3rd Law: Tilted Axes?

Newton's 3rd Law: Tilted Axes is a modification of Newton's 3rd Law of Motion, which states that for every action, there is an equal and opposite reaction. In this version, the force vectors act along non-parallel axes, resulting in a twisting or tilting motion.

2. How is Newton's 3rd Law: Tilted Axes different from the original version?

The main difference is that in the original version, the force vectors act along parallel axes, whereas in the tilted axes version, the force vectors act along non-parallel axes. This results in a twisting or tilting motion instead of a linear motion.

3. What is an example of Newton's 3rd Law: Tilted Axes in action?

An example could be a propeller spinning on a boat. As the propeller blades push against the water, the water exerts an equal and opposite reaction force on the blades, causing the propeller to spin in the opposite direction.

4. Why is it important to understand Newton's 3rd Law: Tilted Axes?

Understanding this law can help explain and predict the motion of objects in situations where the force vectors are not acting along parallel axes. It also helps in designing and understanding complex mechanical systems, such as engines and turbines.

5. Can Newton's 3rd Law: Tilted Axes be applied to everyday life?

Yes, this law can be applied to many everyday situations, such as using a wrench to loosen a bolt. As you push on the wrench handle, the bolt exerts an equal and opposite reaction force on the wrench, causing it to twist and loosen the bolt.

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