assertion in the figure shown A block is always relative at rest wrt lower block whatever be the magnitude of force reason maximum of acceleration of upper block is used even you equals to cost of friction between upper and lower block
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I didn't understand your REASON statement but still I'm giving answer.
Upper block will remain at rest with respect to lower block upto a limited value of F. After F crosses a certain limit (depending on coefficient of friction and their masses) the blocks will start slipping with respect to each other.
Hope that will clear your confusion. Study about 2 body problems in friction to get more understanding.
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