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## Homework Statement

The pulley can rotate and has no friction.

Block [itex]m_2[/itex] is twice as big as [itex]m_1[/itex]

Find the tensions, [itex]T_1, T_2, T_3[/itex]

## Homework Equations

Newton's second law

## The Attempt at a Solution

Tension 1:

By creating a free body diagram only for the block, I got with Newton's second law:

[itex]T_1-mg=ma[/itex]

[itex]T_1=m(a+g)[/itex]

Tension 2:

[itex]T_2-2mg=ma[/itex]

[itex]T_2=m(a+2g)[/itex]

Tension 3:

[itex]T_3-T_1-T_2=ma[/itex]

Inserting above values for the other tensions:

[itex]T_3=ma+m(a+g)+m(a+2g)[/itex]

[itex]T_3=3m(a+g)[/itex]

Did I solve this correctly? What about the acceleration? Can I do anything about that?

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