A) 8.0 cm
B) 10.0cm
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, \[m=2kg,\,k=200\,N/m,\,g=10\,m/{{s}^{2}}\] \[\therefore \] \[a=\frac{2\times 10}{200}=\frac{10}{100}m\] \[=\frac{10}{100}\times 100\,cm=10\,cm\] 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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