Translational and Rotational Energy

AI Thread Summary
The discussion centers on the relationship between translational and rotational energy in a sliding cylinder. It highlights that an initial blow can impart both rotation and sliding motion, with friction eventually slowing the sliding while allowing the rotation to enhance translational velocity. There is confusion regarding how friction affects energy, with a concern that it might reduce both rotational and translational speeds. The conversation indicates a need for clarity on the dynamics of sliding versus non-slipping objects. Understanding these principles is essential for grasping the mechanics involved in such scenarios.
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solved. thank you
 
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Well, if the initial blow imparted a sizeable rotation, AND the cylinder was sliding on the ground, (while rotating) eventually the sliding would slow due to the friction with the ground and the cylinder's rotation could contribute to its translational velocity.
 
AEM said:
Well, if the initial blow imparted a sizeable rotation, AND the cylinder was sliding on the ground, (while rotating) eventually the sliding would slow due to the friction with the ground and the cylinder's rotation could contribute to its translational velocity.

Thank You for taking the time to reply.

But, I still don't quite get this. Wouldn't the friction cause the cylinder to have less energy and, therefore, a slower cylinder rotation and a slower translational velocity? Maybe, it is because I don't quite understand rotations involving objects that slide? Currently, I am only dealing with objects that do not slip.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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