- #1

vande060

- 186

- 0

## Homework Statement

you absolutely need to check the link for my problem picture; this is a snapshot of my online book.

http://s861.photobucket.com/albums/ab174/alkaline262/?action=view¤t=prob9-1.jpg

## Homework Equations

f=ma

## The Attempt at a Solution

as you can see from the picture I have let each of the strings dangling be represented by an x value

so:

3x1 + x2 = length of rope

differentiating twice

3a1 + a2 = 0

and the equations for m1 and m2:

m1a1 = -3T + m1g

m2a2 = -T +m2g

next step is to add these two equations together and set equal to zero

3(a1 = -3T/m1 + g)

+(a2 = -T/m2 +g)

----------------------

3a1 + a2 = 4g -T( 9/m1 + 1/m2) = 0

solving for T = 4g/( 9/m1 + 1/m2)

then i can just plug this into the above a1 and a2 equations to get acceleration right??

and the tension of that tiny little rope below the center pulley till be 2T.

what do you think? Have I made any mistakes