What is the acceleration of the 5kg block in the pulley and masses problem?

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SUMMARY

The discussion focuses on calculating the acceleration of a 5kg block in a pulley system involving a 10kg block with a coefficient of friction of 0.4. The problem requires analyzing the forces acting on both blocks and determining whether the 10kg block will slip or move with the 5kg block. By considering both scenarios—slipping and non-slipping—the user can derive the respective accelerations and check for consistency. The key takeaway is to calculate the tension in the string and assess the forces to find the correct acceleration for the system.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free body diagrams (FBDs)
  • Knowledge of friction coefficients and their implications
  • Basic principles of pulley systems and tension forces
NEXT STEPS
  • Calculate the acceleration of the 10kg block assuming it slips using Newton's second law.
  • Determine the tension in the string connecting the two blocks.
  • Analyze the forces acting on the 5kg block to find its acceleration.
  • Explore scenarios where the 10kg block does not slip and calculate the resulting acceleration.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators and anyone involved in solving pulley and friction-related problems in classical mechanics.

konichiwa2x
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Hi this problem stumps me.

In the figure shown, co-efficient of friction between the block of 10kg and 5kg is 0.4 . There is no friction between the 10kg block and the surface on which it is placed. The system of block is released from rest in the shown situation. Find the distance moved y the block C when block A descends through a distance of 2m.

Please help.I have drawn the FBDs of the blocks. I am sure it is right but I am confused on whether the block of 10kg will move with B or whether they will slip.http://img82.imageshack.us/img82/476/qjn9.png
 
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Start by considering the forces acting within the system. Find the tension in the string.
 
konichiwa2x said:
Please help.I have drawn the FBDs of the blocks. I am sure it is right but I am confused on whether the block of 10kg will move with B or whether they will slip.
Assume either that it does slip, or it doesn't slip, and do the problem. Then check for consistency. If it slips, the 10kg block will have an acceleration you can easily calculate. Is that consistent with the acceleration you find for the 5kg block? If it doesn't slip, the 10kg block has the same acceleration as the 5kg block. Is there enough force available to make that happen?
 

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