A) \[8.0\,\,cm\]
B) \[10.0\,\,cm\]
C) Any value less than\[12.0\,\,cm\]
D) \[4.0\,\,cm\]
Correct Answer: B
Solution :
Let the minimum amplitude of \[SHM\] is \[a\]. Restoring force on spring \[F=ka\] Restoring force is balanced by weight \[mg\] of block. For mass to execute simple harmonic motion of amplitude\[a\]. \[\therefore \] \[ka=mg\] or \[a=\frac{mg}{k}\] Here,\[m=2kg,\,\,k=200\,\,N/m,\,\,g=10\,\,m/{{s}^{2}}\] \[\therefore \] \[a=\frac{2\times 10}{200}=\frac{10}{100}m\] \[=\frac{10}{100}\times 1000cm=10\,\,cm\] Hence, minimum amplitude 'of the motion should be \[10\,\,cm\], so that the mass gets detached from the pan.You need to login to perform this action.
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