A) \[T=2\pi \sqrt{\frac{M}{k}}\]
B) \[T=2\pi \sqrt{\frac{M}{2\,k}}\]
C) \[T=2\pi \sqrt{\frac{2\,M}{k}}\]
D) None of these
Correct Answer: B
Solution :
As spring 1 is compressed by a small distance x, then springs 2 and 3 are expended by \[{{\operatorname{X}}_{2}}={{X}_{3}} = x\,\,cos 45{}^\circ =\,\,\frac{x}{\sqrt{2}}\] \[\operatorname{F}=-\left( {{F}_{1}}+{{F}_{2}}+{{F}_{3}} \right)\]You need to login to perform this action.
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