- #1
blaZkowicZ
- 1
- 0
Homework Statement
Our teacher assigned us this problem of trying to derive and equation from 4 simpler equations and I just can't seem to get the correct answer so I need some help.
a= M1g / (1/2)M2+M1
a= acceleration
M1= Mass 1
M2= Mass 2
g= gravity
R= radius
T= tension
I= moment of inertia
[tex]\alpha[/tex]= angular acceleration
Homework Equations
These are the four equations at which I am supposed to derive the equation above from
a) RT = I[tex]\alpha[/tex]
b)M1g-T = M1a
c)a = [tex]\alpha[/tex]R
d) I = (1/2)M2R2
The Attempt at a Solution
I am very close to the answer but no cigar
a=[tex]\alpha[/tex]R
a= (RT/I)*R
a= [ RTR / (1/2)M2R2]
a= T / (1/2)M2
a= -(M1a) + M1g / (1/2) M2a= (M1g) / ((1/2)M2 + M1a
As you can see I can get all of it correct except for the "a" on the bottom of the equation is wrong. Does anyone have any idea on what to do here? Thanks in advance.