We have to find the acceleration of the blocks in the above picture considering all the surfaces to be smooth and tension is in string is uniform.
Since, in the horizontal direction, there is no force, that implies that the block of mass does not have any acceleration.
Now, if the blocks of mass and are moving with an acceleration relative to the bigger block (of mass ) .
Now, we can write the force equations for the smaller blocks, that is and .
Solving this, we get . However, the answer given to the above problem is as well, that is , whole system is at rest. Is my method wrong or the given answer is wrong?
Another similar problem that is bothering me is this:
Now, here similar to the previous problem I have assumed that the bigger block of mass moves towards right and the smaller blocks move with an acceleration relative to the bigger bloc towards left.
Again in horizontal direction, net force is so I wrote but the given answer in this case is and . Now my very first equation becomes wrong due to this. Where is the fault?