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Question

Three blocks of mass 1kg, 2kg and 3kg with coefficient of friction between the surfaces are as shown. The lock 2kg is connected to the spring.

Choose correct statement


A
The system executes SHM for all values of elongations
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B
For elongation less than 1 m system executes SHM
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C
Maximum spring for which there will be no slipping between the blocks is 24 N
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D
friction acts between blocks, only when slipping occurs between the blocks
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Solution

The correct options are
B For elongation less than 1 m system executes SHM
C Maximum spring for which there will be no slipping between the blocks is 24 N

Ff2=(M1+M2)af=12Nf3=M3aa=4m/s2F12=(1+2)4F=24N
Maximum value for no slipping occurs
Kx =F
X =1m

F > 24 N; slipping occurs.

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