Help needed with rearranging an equation


by Hussman
Tags: equation, moment of inertia, rearranging
Hussman
Hussman is offline
#1
Nov20-11, 11:51 AM
P: 9
Im having trouble rearranging an equation to find a value for I.



[The given equation is mgh = 1/2*Iw^2 + 1/2*mv^2 + Tf * theta


My attempt was a bit of a stab in the dark as i am useless with rearranging equations.

I = mgh/w^2 + 1/2*mv^2 + Tf * theta


Many thanks
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grzz
grzz is offline
#2
Nov20-11, 12:09 PM
P: 939
To make I subject of the equation is like peeling an onion.

First step: Transfer those two terms on the RHS not involving I to the LHS.
Hussman
Hussman is offline
#3
Nov20-11, 01:09 PM
P: 9
ok so you end up with

mgh - 1/2*mv^2 - Tf*theta = 1/2*Iw^2

Would the lhs be divided by 1/2 w^2?

Thanks

grzz
grzz is offline
#4
Nov20-11, 02:04 PM
P: 939

Help needed with rearranging an equation


Yes we 'peel the next layer of the onion' by dividing BOTH sides by [itex]\frac{\omega^{2}}{2}[/itex] to isolate the I by itself on the RHS.
Hussman
Hussman is offline
#5
Nov23-11, 01:01 PM
P: 9
Nice one cheers


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