# Pulley System

1. Oct 7, 2007

### Thomas_

1. The problem statement, all variables and given/known data
Pulley System:
Code (Text):
B-------O   ////
//////  |   |
|   |
|   |
---O---
|
B
O = Pulley
B = Block

Find the acceleration of each block in terms of m1,m2 and g.

2. Relevant equations
F = ma

3. The attempt at a solution
I drew free body diagrams for each block and ended up with:

Block 1: T1 = m1a1

Block 2: m2g - T2 =m2a2
T2 = 2T1

However, this is not enough to cancel out all a2's / a1's. What piece am I missing here?

2. Oct 7, 2007

### Staff: Mentor

What's the relationship between a_1 and a_2? If m1 has an acceleration of +a to the right, what must the acceleration of m2 be?

3. Oct 7, 2007

### ank_gl

not much is clear from that picture.. mind clarifying it a lil bit??

4. Oct 7, 2007

### Thomas_

Last edited by a moderator: May 3, 2017
5. Oct 7, 2007

### Staff: Mentor

No. If m_1 moves a distance L to the right, how far down does m_2 move? (You might find it helpful to play around with a piece of string. I'm not kidding.) You need to determine the magnitude and direction of the acceleration of m_2 in terms of the acceleration of m_1.