A) \[{{\left( \frac{{{K}_{1}}+{{K}_{2}}}{m} \right)}^{1/2}}\]
B) \[{{\left[ \frac{{{K}_{1}}{{K}_{2}}}{m({{K}_{1}}+{{K}_{2}})} \right]}^{1/2}}\]
C) \[{{\left[ \frac{{{K}_{1}}{{K}_{2}}}{({{K}_{1}}-{{K}_{2}})m} \right]}^{1/2}}\]
D) \[{{\left[ \frac{K_{1}^{2}+K_{2}^{2}}{({{K}_{1}}+{{K}_{2}})m} \right]}^{1/2}}\]
Correct Answer: A
Solution :
In this case springs are in parallel, so\[{{k}_{eq}}={{k}_{1}}+{{k}_{2}}\] and \[\omega =\sqrt{\frac{{{k}_{eq}}}{m}}=\sqrt{\frac{{{k}_{1}}+{{k}_{2}}}{m}}\]You need to login to perform this action.
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