In the figure, the blocks and of mass m each have acceleration and respectively. and are external forces of magnitude and respectively. Then
Step 1: Acceleration for Block
Let be the tension in the string, be the acceleration due to gravity.
The equation of motion for mass is
From the given figure, the tension on mass due to the downward acceleration due to gravity.
Step 2: Acceleration for Block
Let be the tension in the string, be the acceleration due to gravity.
The equation of motion for mass is
From the given figure, the tension on mass due to the downward acceleration due to gravity.
Step 3: Acceleration for Block
Let be the tension in the string, be the acceleration due to gravity.
The equation of motion for mass is
From the given figure, the tension on mass due to the downward acceleration due to gravity.
Therefore .
Hence, the correct answer is option (B).