# Newton's Second Law & Moment of Inertia Derivation?

by danyalasdf
Tags: derivation, inertia, moment, newton
 P: 6 1. The problem statement, all variables and given/known data We did something very similar to this in lab http://webenhanced.lbcc.edu/physte/p...%20Inertia.pdf Use Newton's Second to derive the expression for the experimentally determined moment of inertia 2. Relevant equations Newton's Second Law is F=m*a s=(1/2)*a*t^2 Experimentally Moment of Inertia I=r^2(m((gt^2/2s)-t) - mf) Trying to get to this ^ mf= mass effective not much meaning just mass in kg If it confusing the gt^2 is divided by 2s then it is subtracted by t and multiplied by r^2 and then minus mf Torque= F*r= m*r*a T= (mf + m)(g - a) = tension 3. The attempt at a solution T= (mf + m)(g - (2*s/t^2)) T= (mf + m)((1/2)(a*t^2) - a) T= (mf + m)(a((1/2)*t^2 - 1) I am stuck write here
 PF Patron P: 3,963 Is calculus is a prerequisite for this course?
P: 6
 Quote by Pythagorean Is calculus is a prerequisite for this course?
yes it is Physics Calculus Based 2211K

PF Patron
P: 3,963

## Newton's Second Law & Moment of Inertia Derivation?

Calc may not be necessary.

So what's the physical system you're doing in this problem? Is it the same exact system as in the lab?
P: 6
 Quote by Pythagorean Calc may not be necessary. So what's the physical system you're doing in this problem? Is it the same exact system as in the lab?
yes it is the exact same system

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