Solve Pulley Question Homework: Find Acceleration, Tension & Speed

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Homework Help Overview

The problem involves two objects connected by a string over a frictionless pulley, with one object on an incline and the other hanging. The parameters include masses of 2.00 kg and 6.00 kg, and an incline angle of 55 degrees. The tasks include finding the acceleration, tension in the string, and the speed of each object after 2.00 seconds from rest.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law to analyze the forces acting on each mass. There are inquiries about how to derive the equations for acceleration and tension from the free body diagrams. Some participants express confusion regarding the diagrams and seek clarification on their setup.

Discussion Status

Participants are actively engaging with the problem, offering guidance on using Newton's second law and encouraging the original poster to clarify their free body diagrams. There is a collaborative effort to explore the relationships between the forces and the resulting equations, although no consensus on a solution has been reached.

Contextual Notes

There is mention of confusion regarding the free body diagrams, which may affect the understanding of the forces involved. The problem is framed within a homework context, suggesting that participants are adhering to guidelines that may limit the type of assistance provided.

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Homework Statement


Two objects are connected by a light string that passes over frictionless pulley. Draw free body diagram of both objects. Assuming the incline is frictionless, m1= 2.00kg m2= 6.00 kg and the angle is 55. A. find the accelerations of the objects, B. the tension in the string. C. the speed of each object 2.00 seconds after they are released from rest.

The picture is a triangle with M2 sitting on the hypotenuse connected to the pulley and M1 hanging from the pulley. The angle that is 55 is not the one the pulley is on. I hope this helps!


Homework Equations





The Attempt at a Solution


The free body diagrams are confusing me and I have no clue where to go to find the acceleration even if I did have the right diagram drawn.
 
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Apply Newton's 2nd law to both objects and solve for a. Likewise, you can solve for T, as well.
 
How would you solve for T?
 
Hi student_1,

If it's the drawing of the free body diagrams that are giving you trouble, could you post a picture of what you got? Or at least describe how you drew them?

If you have the right diagrams, then what equations do you get from them (following konthelion's advice about using Newton's second law). You solve for a and T from those equations.
 
Look at each mass separately and use Newton's 2nd law to find the acceleration. So determine which forces are acting on each object and then you will be able to solve for acceleration.
 

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