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.

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# Pulley accelerations problem

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