Motion and Acceleration of Connected Blocks on an Inclined Plane with a Pulley

[moondawg]

Homework Statement

2 blocks connected by a cord passing over a small, frictionless pulley rest on frictionless planes. a.) Which way will the system move when the blocks are released from rest? b.) what is the acceleration of the blocks?
*** picture a triangle with a 100kg block over its left slops at angle of 30 degrees, and a 50kg block over its right slope with a 53.1 degree angle with a string through a fricitonless pulley connecting the 2 blocks together.

Homework Equations

The Attempt at a Solution

I found the forces exerted by each of the blocks by breaking up into components. I found the force for the 100 kg block to be 490N down the ramp and the force for the 50kg block to be 391.8N down the ramp so for a.) the system will movethe blokcs to the left(in the direction of 100kg block).
For b.) i found the net force to be 98.15N in the left direction then set 98.15=100a and found a to be .9815m/s². I used 100kg as my mass bc that is the mass of block in which the direction of both blocks are going according to my data. But idk if that's right? please someone help me out?!

 

[housemartin]

98.15=100a
writing like this is like saying that the net force makes only 100 kg block to move, and 50 kg block isn't affected by it.