What is the acceleration of each block?

Posted on 2015-09-30 06:47:00 in Physics by ANDERSON

GIVEN INFORMATION:
A pair of blocks are connected by a massless rope and placed on a frictionless surface. The diagram shows the situation at the instant the blocks are released. The left side has a mass of 35 kg and an incline of 25 degrees to the horizontal. The right side has a mass of 20 kg and an incline of 40 degrees to the horizontal.

MY ATTEMPT TO SOLVE:

My attempt was solving each blocks acceleration by doing
?f(+x)= Fgsin(theta)=ma
fg = mg there fore mgsin(theta)=ma
the masses cancel out leaving
gsin(theta)=a
so acc of block 1 =
(9.8m/s^2)(sin(25))=4.142 m/s^2

Should I not be canceling the masses out?

Would a better approach be taking mgsin(25)-mgsin(40)/55 = 0.345s?

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