A) \[350.67\text{ }N\]
B) \[540.\text{ }11\text{ }N\]
C) \[311.24\,\,N\]
D) \[300.5\text{ }N\]
Correct Answer: C
Solution :
Time period of the spring-mass system \[T=2\pi \sqrt{\frac{m}{k}}\] ?(i) \[\Rightarrow \] For spring \[mg=kx\] \[k=\frac{mg}{x}=\frac{60\times 9.8}{30\times {{10}^{-2}}}=1960N/m\]?.(ii) \[\Rightarrow \] From Eqs. (i) nd (ii) \[0.8=2\pi \sqrt{\frac{m}{1960}}\] \[\Rightarrow \] \[\frac{0.8\times 0.8\times 1960}{4{{\pi }^{2}}}=m\] \[m=31.81\,kg\] \[w=318.1\,N\]
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