2 Masses, Friction, Inclined Plane, Pulley problem

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SUMMARY

The discussion focuses on solving a physics problem involving two masses connected by a massless rope over a frictionless and massless pulley on an inclined plane with friction. The key equations utilized are Newton's 2nd Law, represented as ∑F = ma, and the frictional force equation F_f = μN. By establishing two dynamical equations with known frictional force, the tension in the rope and the acceleration of the blocks can be determined definitively.

PREREQUISITES
  • Understanding of Newton's 2nd Law of Motion
  • Knowledge of frictional forces and the coefficient of friction (μ)
  • Familiarity with inclined plane mechanics
  • Basic algebra for solving simultaneous equations
NEXT STEPS
  • Study the application of Newton's Laws in multi-body systems
  • Learn about inclined plane dynamics with friction
  • Explore the concept of tension in ropes and pulleys
  • Practice solving problems involving simultaneous equations in physics
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Students of physics, educators teaching mechanics, and anyone interested in solving dynamics problems involving inclined planes and pulleys.

shaggyster
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Here's a problem I've been having trouble with. I was hoping someone out there can give me some insight on it. Basically it's just two masses both coupled together with a massless rope on a frictionless and massless pulley on an inclined plane WITH friction. Here's the diagram. The problem is to figure out the tension in the rope and the acceleration of the blocks.
 

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Well, use Newton's 2nd Law, and pick a direction for the acceleration.

\sum_{i=1}^{n} \vec{F}_{i} = m \vec{a}

Also remember

F_{f} = \mu N
 
you get two dynamical equations... In which there are only two unknowns... Tension and acceleration... frictional force is known... Two equations two variables...Voila ! there's your answer
 

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