Acceleration of two blocks connected by a pulley

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SUMMARY

The discussion focuses on the acceleration of two blocks connected by a pulley system, specifically analyzing the forces acting on each block. The tension in the rope is calculated as 2.91*9.8 N, while the friction and gravitational components for block M1 are also considered. The key conclusion is that the mass of block M2 influences the acceleration of M1 due to the interconnected nature of the system, demonstrating that the tension will not equal the weight of M2 once acceleration is established.

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  • Understanding of Newton's Second Law of Motion
  • Basic principles of pulley systems
  • Knowledge of forces including tension, friction, and gravity
  • Familiarity with trigonometric functions in physics
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Esoremada
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http://puu.sh/4DtNc.png

I solved this question, but I don't understand why this worked. I feel like for the final line in my solution it should just be divided by M1, not the combined mass of both blocks.

Isn't this synonymous with just M1 being pulled up the ramp by a guy at the top pulling with a force of 2.91*9.8 N? I thought I made an equation for the net force of just M1. The tension in the rope is 2.91*9.8, the friction is 3.19113*9.8*cos(18.5)*0.396, the gravity component pointing down the ramp is 3.19113*9.8*sin(18.5). So why does the mass of M2 have any place in solving for the acceleration of M1?

I feel like it should just be.
[2.91*9.8 - 3.19113*9.8*sin(18.5) - 3.19113*9.8*cos(18.5)*0.396] / (3.19113)
 
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Once the system has an acceleration, the tension in the rope will no longer equal the weight of ##m_2##.

You can see why this is true by considering the forces acting on ##m_2##. If the tension acting on ##m_2## equals the weight acting on ##m_2##, then the forces acting on ##m_2## would add to zero and ##m_2## would have zero acceleration.
 
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Ah I get it, thank you.
 

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