Particle Mechanics exercises. Please help.

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SUMMARY

The discussion focuses on a physics problem involving two particles, A and B, with masses 2m kg and m kg, respectively, connected by a light inextensible string over a smooth pulley. The system is released from rest, and the goal is to determine the acceleration of the particles and the tension in the string. Additionally, the problem requires calculating the height difference between the particles when the string breaks and when particle B reaches its highest point. Key equations of motion and tension analysis are essential for solving this problem.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with concepts of tension in strings
  • Knowledge of kinematic equations for uniformly accelerated motion
  • Basic principles of energy conservation in mechanical systems
NEXT STEPS
  • Study the derivation of acceleration and tension in connected mass systems
  • Learn about the application of Newton's second law in multi-body problems
  • Explore kinematic equations related to vertical motion
  • Investigate the effects of breaking tension in inextensible strings
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in mastering particle mechanics and dynamics involving connected systems.

hyorin.choi
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Homework Statement


Two particles A and B, of masses 2m kg and m kg respectively, are connected by a light inextensible string which passes over a fixed smooth pulley. The system is released from rest, with both portions of the string vertical and taut, while A and B are at the same height. Find the magnitude of the acceleration of the particles and the tension in the string.
The string breaks when the speed of each particle is u m/s. Find, in terms of u, the difference in height between the particles A and B,
a. when the string breaks.
b. when B reaches it s highest point, assuming that A has not reach the ground and B has not reached the pulley.
 
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Hello HC, welcome to PF :smile: !

So far for the problem statement. Interesting.

Now for the rest of the template. The guidelines require an effort on your part to come to a solution. That also helps us to provide more useful assistance: you don't need the answer, you need the exercise !

Homework Equations

The Attempt at a Solution

 

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