How Does a Cylinder Roll Down an Inclined Plane?

AI Thread Summary
The discussion centers on solving physics problems related to a cylinder rolling down an inclined plane. Participants are asked to create problems based on a provided image, focusing on variables like radius and initial velocity. One specific problem involves calculating the speed of a cylinder with a radius of 12 cm, released from rest on a smooth incline at a 30-degree angle, over a distance of 8 meters. The conversation emphasizes understanding the dynamics of rolling motion and energy conservation principles. Engaging with these problems will aid in preparation for final exams in physics.
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Can you guys give me some problems to solve, based on the picture provided?

You can choose which variables you want to be "given" -- I would just like some problems about rolling on an inclined plane to do to prepare for my final.
 
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bad question
this instead--sorry
if it has a radius R and an initial velocity V, determine the height.
 
Conversly, and with some numbers;

Find the speed of a cylinder of radius R = 12cm, when released from rest at the top of a smooth inclined plane at an angle \phi = \frac{pi}{6} from the horizontal and a slope length of d = 8m.
 
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In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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