Hi. I have a homework problem I've been trying to solve for three days I think.(adsbygoogle = window.adsbygoogle || []).push({});

There is a block that lies on a horizontal table with mass = m1 it is connected to a cord which goes over a pulley on the edge of the table. The cord goes down and around another pulley (lets call it p2) the cord goes up again and is connected to a ceiling a little higher than the table. To the p2 pulley there is connected another block with mass= m2. The m2 block has an downward acceleration a2, and the m1 block has an acceleration a1,to the right . The problem is to find these accelerations a1 and a2 in terms of m1, m2 and g.

I hope you will be able to picture this.

So far my work is this:

The string connected to block m1 has tension: T=m1a1

For block m2 : m2*g - 2*T = m2*a2

The right answers are :

a1 = 2*m2*g/(4*m1 + m2)

a2 = m2*g/(4*m1 + m2)

I have no clue how to reach to this conclusion, could someone please give me a hint.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Pulley accelerations problem

**Physics Forums | Science Articles, Homework Help, Discussion**