Acceleration on an Inclined Plane

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SUMMARY

The problem involves two blocks weighing 3.6N and 7.2N connected by a massless string sliding down a 30-degree inclined plane. The coefficient of kinetic friction for the lighter block is 0.10, while for the heavier block, it is 0.20. To find the magnitude of acceleration, one must apply Newton's second law (F=ma) and account for gravitational forces and frictional forces acting on both blocks. The tension in the string also plays a crucial role in determining the net force acting on the system.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of forces acting on inclined planes
  • Familiarity with friction coefficients
  • Ability to solve equations involving tension in strings
NEXT STEPS
  • Study the concept of forces on inclined planes in detail
  • Learn how to calculate net force and acceleration in systems with multiple objects
  • Explore the effects of friction on motion, specifically in inclined scenarios
  • Practice problems involving tension in strings and connected masses
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of inclined plane problems involving friction and tension.

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Homework Statement


Two blocks of wieghts 3.6N and 7.2N are connected by a massless string and slide down a 30 degree inclined plane. The coefficient of kinetic friction b/t the lighter block and the plane is 0.10, that b/t the heavier block and the plane is 0.20. Assuming the lighter block leads, find magnitude of acceleration of the blocks.


Homework Equations



F=ma
Fcos(O)-fk-T=ma

The Attempt at a Solution



I dunno, I just guessed at the above equations. Anyway, I'm pretty stuck on this problem (meaning I don't even know where to begin). It's the fact that the question didn't give any forces that threw me off, they just gave masses (and in N too).
 
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The force causing them to slide will be the force due to gravity.

F = ma -> F = mg
 
Well, yeah, I thought of that, but wouldn't that just be the force in the y direction? Like, shouldn't there also be a force in the x direction, since it's on an inclined plane and all? That's the acceleration I'm having trouble finding. See, it's that that I was guessing at in the above equations.

Oh, and since they're connected on a string, wouldn't F=mg be Fy=T-mg, since there's supposedly some tension in the string as well?
 

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