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## Homework Statement

A block of mass m1= 3.70 kg on a frictionless plane inclined at angle θ=30.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2=2.30 kg. What are (a) the magnitude of the acceleration of each block, (b) the direction of the acceleration of the hanging block, and (c) the tension in the cord?

## Homework Equations

F=ma

## The Attempt at a Solution

Block 1's acceleration's coordinates are:

(vector)a (sinθ*g+T/m1, cosθ*g +N/m1)

Block 2's acceleration's coordinates are:

(vector)a' (0,T/m2-g)

a and T are the unknowns.

However, how can I "gather" ax and a'y if I don't know their signs?

Indeed, I don't know if block 1 is sliding towards the bottom of the plane or if block 2 is falling. One of the accelerations has to be given a minus sign (since one of them will be pointing in the opposite direction of the unit vectors), but which one is it?

I don't know if I am clear enough; I hope you understood my problem though.

Thank you!! :)