A little help , rotational and youngs modulus

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SUMMARY

The discussion focuses on calculating the final tangential velocity and angular momentum of a solid ball and a hollow ball system on a 33-degree incline. The solid ball has a mass of 3 kg and a radius of 1 m, while the hollow ball has a mass of 1 kg and a radius of 3 m. Key equations include the moment of inertia formula I=mr² and the conservation of energy principle, which states that initial kinetic energy plus initial potential energy equals final kinetic energy plus final potential energy. Participants confirm that the moments of inertia should be combined since they are scalars and advise considering the relationship between linear velocity (v) and angular velocity (ω) during calculations.

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A little help please, rotational and youngs modulus

Homework Statement


A solid Ball with a mass of 3kg and r=1m is suspended in the center of a hollow ball of mass=1kg and r=3m. It is placed at rest on a 33 degree incline. after rolling 1km along the incline what's the final tangetial velocity? what's the objects final angular momentum?


Homework Equations


I know i need I=mr^2
and I am pretty sure this is a conservative problem so KEi+PEi=KEf+PEf
KE=Iw^2 and KE=1/2mv^2
PE=mgh or mgr

The Attempt at a Solution


Im not too sure how to input the problem at all...should I combine the two moments of Inertia? then go from there or should they both be done separately? This problem is killing me

thanks in advance everyone
 
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Hi invisiblewar! :smile:

(have an omega: ω :wink:)
invisiblewar said:
Im not too sure how to input the problem at all...should I combine the two moments of Inertia? then go from there or should they both be done separately?

Yes, moments of inertia (about the same axis) are scalars, so you just add them. :smile:

(and it's rolling, so don't forget to find the equation relating v to ω :wink:)
 


awesome thanks so much
 

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