What is the Correct Approach to Solving a Challenging Pulley Problem?

In summary, the conversation suggests that the net force for m2 is incorrect and needs to be rewritten for both horizontal and vertical forces. The equations for m3 are also missing and need to be included in the solution. A free body diagram should be drawn and the forces labeled correctly with attention to their signs. The sum of forces for each mass should be written according to Newton's law, which will provide a system of equations to solve for the desired information. Additionally, the solution should account for different tensions and correct any errors, such as using m2 instead of m3.
  • #1
jalen
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please refer to attachment for question =)
 

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  • #2
Well for one thing, your net force for m2 is wrong. There are two forces acting in the horizontal direction, and two in the vertical. You've mixed them together. You need to write separate equations for each direction.

Where are your equations for m3?

Draw a free body diagram and label the forces. Be careful with your signs. Write out the sum of the forces according to Newton's law for each mass. This will give you a system of equations to work with to find the information you are being asked to solve for.

See if that helps.
 
  • #3
In your solution for the acceleration, you treat the different tensions as if they were equal. (You also wrote m2 when you meant m3.)
 

1. What is a challenging pulley problem?

A challenging pulley problem is a physics problem that involves analyzing the forces and motion of a system with multiple pulleys and ropes. These problems often require the use of principles such as conservation of energy and Newton's laws of motion to determine the final outcome.

2. How do I approach solving a challenging pulley problem?

To solve a challenging pulley problem, it is important to first draw a clear diagram of the system and label all the forces acting on each object. Then, you can use equations such as F=ma and conservation of energy to set up and solve a system of equations that will lead to the solution.

3. What are some common mistakes to avoid when solving a challenging pulley problem?

One common mistake is forgetting to consider the tension in the ropes, which can change as the system moves. It is also important to properly consider the direction of the forces and to make sure all forces are accounted for in the equations.

4. Can you provide an example of a challenging pulley problem?

One example of a challenging pulley problem is a mass being pulled up an incline with two pulleys and two ropes. The goal is to determine the acceleration of the mass and the tension in each rope. This problem requires the use of trigonometry and Newton's laws of motion to solve.

5. How can understanding challenging pulley problems be useful?

Understanding challenging pulley problems can be useful in many fields, such as engineering and construction. It allows for the analysis of complex systems and can help in designing and optimizing machines that use pulleys and ropes. It also helps develop critical thinking and problem-solving skills.

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