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?
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:
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!! :)