Solving Difficult Problem Involving Blocks and Pulley

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SUMMARY

The discussion focuses on a physics problem involving two blocks connected by a rope over a pulley. Block A has a mass of 2.10 kg, Block B has a mass of 0.410 kg, and the rope has a mass of 0.162 kg with a total length of 1.08 m. The coefficient of static friction is 0.247. The main objective is to determine the distance necessary to initiate the motion of Block A from rest, while considering the forces acting on both blocks and the rope.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static friction and its coefficient
  • Familiarity with pulley systems and tension forces
  • Basic algebra for solving equations involving forces and masses
NEXT STEPS
  • Study the principles of static and kinetic friction in detail
  • Learn how to analyze forces in pulley systems
  • Explore the concept of tension in ropes and its effects on connected masses
  • Review problem-solving techniques for dynamics involving multiple bodies
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Physics students, educators, and anyone interested in mechanics, particularly those studying dynamics involving pulleys and friction.

Kenchin
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With a system where Block A is on a horizontal and Block B is over the edge connected by a rope on a pulley, block A has mass = 2.10 , block B has mass = 0.410 , and the rope connecting them has a nonzero mass 0.162 . The rope has a total length 1.08 and the pulley has a very small radius. Let d be the length of rope that hangs vertically between the pulley and block B. Ignore any sag in the horizontal part of the rope. The coefficient of static friction is .247. Find the distance necessary to start the motion of block A from rest.

Okay after I saw this problem I tried to set it up where the kinetic force of friction + the weight of the rope before the pully containing the equation .162-.162(1.08-d/1.08) [where d is the distance over the pulley] = .162(9.80)(d/1.08)+.410(9.80). I cannot get this to work, can anyone assist me by showing me where i went wrong?
 
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It is impossible to help you.

You must provide the units with your numbers. Block A has a mass of 2.1 (Something) like wise your distances must carry the correct units. In order to complete this problem you must use some number for g, the acceleration due to gravity, it has different numbers depending upon the system of units. Since you have not told us what units you are working in we cannot check your numbers. Please post the complete problem.
 

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