A problem about angular momentum

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Homework Help Overview

The problem involves a marble of mass M and radius R rolling up an inclined plane at an angle θ, with an initial velocity v. The objective is to determine the distance l it travels up the plane before rolling back down, while considering the effects of angular momentum and energy.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply energy conservation principles but expresses confusion regarding the role of friction and the critical condition for the marble's motion. Other participants suggest considering energy aspects and the relationship between kinetic energy, mass, and angular velocity.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the kinetic energy of the marble, but there is no explicit consensus on the correct approach or resolution of the confusion surrounding the frictional forces.

Contextual Notes

There is a noted lack of information regarding energy in the original problem statement, which some participants are questioning. The original poster also mentions uncertainty about the critical condition for the marble's motion.

VictoriaWoo
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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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