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negation

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Are there any good sources to understand the physics behind a rolling sphere down an incline plane?

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In summary, the conversation discusses the need for good sources to understand the physics of a rolling sphere down an incline plane. The speaker expresses difficulty in understanding the information presented on slides and is looking for a source that presents the mathematical reasoning in a systematic way. Several sources are suggested, including page 69 of a PDF file on analytical mechanics and a website with information on applying Newton's Second Law in general rotations. The speaker is also encouraged to provide more specific information on their understanding and what they are struggling with.

- #1

negation

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- 0

Are there any good sources to understand the physics behind a rolling sphere down an incline plane?

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dipole

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What specifically don't you understand?

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UltrafastPED

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There is always more to say!

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negation

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dipole said:What specifically don't you understand?

I ran through the slides and was overloaded with information. Not sure if it was the slides with information that was scattered but it was just a lot of information.

I was hoping there might be a good source from which I can weave the entire mathematical reasoning together in a systematic fashion rather than having to read through a slide with information scattered.

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UltrafastPED

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UltrafastPED said:

Just p. 69 - assuming you understand analytical mechanics.

Or if you want Newtonian mechanics, try this:

http://scripts.mit.edu/~srayyan/PER...ying_Newton's_Second_Law_in_General_Rotations

Or with pictures:

Or you can tell us what it is you know, and what you don't understand.

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The purpose of this experiment is to demonstrate the effects of gravity and friction on an object in motion. It allows us to observe and measure the acceleration of the sphere as it rolls down the ramp.

The higher the incline ramp, the greater the potential energy of the sphere. This potential energy is converted into kinetic energy as the sphere rolls down the ramp, resulting in a higher speed at the bottom of the ramp.

According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the force acting on it and inversely proportional to its mass. Therefore, a heavier sphere will experience a lower acceleration compared to a lighter one when rolling down the same incline ramp.

The frictional force acting on the rolling sphere can be influenced by the surface of the ramp, the material of the sphere, and the smoothness of the ramp's surface. The rougher the surface of the ramp and the sphere, the greater the frictional force will be.

The acceleration of the rolling sphere can be calculated using the formula a = gsinθ, where a is the acceleration, g is the acceleration due to gravity (9.8 m/s²), and θ is the angle of the incline ramp. This formula assumes that there is no external force acting on the sphere and that friction is negligible.

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