Relative Acceleration of Blocks in a Pulley System

The magnitude of relative acceleration of B w.r.t. A is (Assuming pulley and string are light and frictionless)  
(1) 2F/m  (2) 3F/2m  (3) 4F/3m  (4)
This video tackles a dynamics problem involving a pulley system.

We will find the relative acceleration between two blocks, A and B.

First, we'll determine the individual acceleration of each block using Newton's second law.

Block A is on a movable pulley, so its acceleration is half that of the rope.

Block B, being a single hanging mass, moves with the full acceleration of the rope.

The tension in the rope is constant due to the light and frictionless pulley.

We'll then apply the principle of relative acceleration to find the final answer.

The video provides a clear, step-by-step solution to help you master this concept for your exams.