Solve Maximum Speed Equation: I (of P) = I (of o) + Md*d

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Homework Help Overview

The discussion revolves around the equation I (of P) = I (of o) + Md*d, which appears to relate to rotational dynamics and energy conservation. Participants are exploring how to apply this equation in the context of a problem involving the center of mass and potential energy changes.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to understand how to utilize the given equation and whether conservation of energy principles apply. Questions arise regarding the change in potential energy and the implications of the center of mass position.

Discussion Status

The discussion is active, with participants sharing their attempts and questioning the application of energy conservation. Some have provided calculations related to kinetic energy and moment of inertia, while others are seeking clarification on the underlying concepts and potential errors in reasoning.

Contextual Notes

There is a sense of urgency due to a looming deadline, which may be influencing the pace and nature of the discussion. Participants are grappling with the implications of changing the center of rotation and the associated energy transformations.

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When the center of mass is at the bottom what is its change in potential energy?

Where did the PE go?
 
LowlyPion said:
When the center of mass is at the bottom what is its change in potential energy?

Where did the PE go?

so do i use energy conservation...

please tell me soon its due in an half our :(
 
dsptl said:
so do i use energy conservation...

please tell me soon its due in an half our :(

Why not use conservation of energy?
 
LowlyPion said:
Why not use conservation of energy?

huh?
 
my 2nd trial:

I displaced= I shape axis + mR2

For the cylinder Ic is
Ic = 0.5 m R2

Ke= 0.5 I ω^2
the energy must be concerved when the center of rotation is changed from P to O.
We have
Ke(berore) =0.5 [0.5 m R2 + mR2] ω1^2 = 0.25[ 1+2] mR2ω1^2 = (3/4)mR2ω1^2
Ke(after) =0.5 [0.5 m R2 ] ω2^2 = (1/4) mR2ω2^2 we have

(3/4)mR2ω1^2 = (1/4) mR2ω2^2
ω2= √[(3/4)mR2ω1^2 /(1/4) mR2 ]=ω1√ 3

ω2= ω1√ 3


now tell me whts wrong here...i am not getting any value for ans??
 

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