A problem about angular momentum

AI Thread Summary
The discussion revolves around a physics problem involving a marble rolling up an inclined plane and determining the distance it travels before rolling back down. The initial velocity, mass, and radius of the marble are provided, but there is confusion regarding the application of angular momentum and energy conservation principles. The correct distance traveled up the plane is approximately 1.3 meters, while the user's calculations yield about 1.5 meters, indicating a misunderstanding of the role of friction and energy in the problem. The conversation highlights the importance of recognizing kinetic energy components in solving such problems. Understanding these concepts is crucial for accurately determining the marble's motion.
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Homework Statement


A marble of mass M and radius R is rolled up a plane of angular θ. If the initial velocity of the marble is v, what is the distance l it travels up the plane before it begins to roll back down?


Homework Equations





The Attempt at a Solution


I would like to know the details of the motion. The answer is l≈1.3m. But I try the equation -mglsinθ=0-(1/2mv+1/2Iω), the result is about 1.5m. I know it is not the correct way, but I am just confused about the critical condition and how the friction is canceled out.
 
Physics news on Phys.org
energy? :wink:
 
There is no information about energy in the question offered in An Introduction To Mechanis by Kleppner.
 
yes there is …

you know m and v and I and ω, so you know the kinetic energy ! :wink:​
 

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Thread 'Rolling without slipping on a curved surface'

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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