Rolling down a ramp - find acceleration

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SUMMARY

The discussion focuses on calculating the acceleration of a pipe rolling down a ramp inclined at 30 degrees, considering the ramp's motion. The user expresses uncertainty about the correct setup of equations due to the ramp's rolling motion affecting the angle of acceleration. Key insights include the importance of treating relative accelerations as vectors, which add similarly to relative velocities and positions. This understanding is crucial for accurately determining the acceleration of the pipe in relation to the moving ramp.

PREREQUISITES
  • Understanding of basic physics concepts, particularly acceleration and vectors.
  • Familiarity with inclined plane dynamics and forces acting on objects.
  • Knowledge of how to resolve vectors into components.
  • Basic proficiency in setting up and solving equations of motion.
NEXT STEPS
  • Study the principles of relative motion in physics.
  • Learn how to apply vector addition to acceleration problems.
  • Explore the dynamics of rolling motion on inclined planes.
  • Review examples of solving equations for objects on moving surfaces.
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of rolling objects on inclined surfaces.

serverxeon
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2eyud5j.png


Here are the few equations i set up... which ultimately led to a wrong answer.
(In my solution, subscripts A refers to the ramp, B refers to the rolling pipe)

1ilhr8.jpg


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I have a feeling that the acceleration if pipe A isn't simply downwards at 30deg.
Cos the ramp is rolling away, so the angle is relative to the ramp.

But I have no idea how to set up the required equations to correct this.
Any pointers?
 
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hi serverxeon! :smile:
serverxeon said:
I have a feeling that the acceleration if pipe A isn't simply downwards at 30deg.
Cos the ramp is rolling away, so the angle is relative to the ramp.

relative accelerations are vectors (like relative velocities or relative positions), and so they add like vectors :wink:
 

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