A block P of mass m is placed on a smooth horizontal surface. A block Q of same mass is placed over the block P and the coefficient of static friction between them is μs. A spring of spring constant K is attached to block Q. The blocks are displaced together to a distance A and released. The upper block oscillates without slipping over the lower block. The maximum frictional force between the block is
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a
zero
b
KA
c
KA/2
d
μg
answer is C.
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Detailed Solution
Angular frequency of system,ω=Km+m=K2mMaximum acceleration, amax=ω2AFrictional force between P and Q = force exerted on lower block=mω2A=mK2mA=KA2