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To conclude, principle of transmissibility is valid for rigid body only.
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Fundamentals of Engineering Mechanics
When the blocks are connected by springs, the system becomes non-rigid. In this case, point of application matters. If the force is applied at B, initially the acceleration of B will be much more compared to A. If the force is applied at A, then initially the accelearion of A will be much compared B. Thus, the point of application of force matters.