A) \[kA\]
B) \[\frac{kA}{2}\]
C) Zero
D) \[{{\mu }_{s}}\,mg\]
Correct Answer: B
Solution :
When two blocks performs simple harmonic motion together then at the extreme position ( at amplitude =A) Restoring force \[F=KA=2ma\] Þ \[a=\frac{KA}{2m}\] There will be no relative motion between P and Q if pseudo force on block P is less than or just equal to limiting friction between P and Q. i.e. \[m\ \left( \frac{KA}{2m} \right)=\]Limiting friction \[\therefore \] Maximum friction \[=\frac{KA}{2}\]
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