Rolling down a ramp - find acceleration

AI Thread Summary
The discussion centers on calculating the acceleration of a pipe rolling down a ramp inclined at 30 degrees. The initial assumption that the acceleration is simply downward at this angle is challenged due to the ramp's motion. It is suggested that the acceleration must be treated as a vector, considering the ramp's rolling away, which affects the angle of acceleration. Participants emphasize the importance of setting up the equations correctly to account for these relative motions. Properly addressing these factors is crucial for arriving at the correct solution.
serverxeon
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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)

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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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