Solve Pulley Question Homework: Find Acceleration, Tension & Speed

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SUMMARY

The discussion focuses on solving a physics problem involving two masses connected by a string over a frictionless pulley. Given m1 = 2.00 kg, m2 = 6.00 kg, and an incline angle of 55 degrees, participants emphasize applying Newton's Second Law to derive the acceleration and tension in the string. The solution requires drawing accurate free body diagrams for both masses to identify the forces acting on them. The goal is to calculate the acceleration and tension, as well as the speed of each object after 2.00 seconds from rest.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Ability to draw and interpret free body diagrams
  • Basic knowledge of kinematics and acceleration
  • Familiarity with frictionless pulley systems
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  • Study the application of Newton's Second Law in multi-body systems
  • Learn how to construct and analyze free body diagrams for inclined planes
  • Explore kinematic equations to calculate speed and acceleration over time
  • Investigate the effects of friction in pulley systems for comparative analysis
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to pulleys and forces.

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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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