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  • In figure (A) mass 8m is fined on mass 6m which is attached to two springs of spring constant 4k in figur

In figure (A) mass 8m is fined on mass 6m which is attached to two springs of spring constant 4k in figure (B) mass 2m is attached to two springs of spring constant k and 4K. If mass '2m' in ( A ) and in (B) are displaced by distance 'x' horizontally and then released, them time period T_1 and T_2 corresponding to (A) and (B) respectively follow the relation.

 

Option: 1

\sqrt{\frac{36}{8}}


Option: 2

\sqrt{\frac{35}{8}}


Option: 3

\sqrt{\frac{15}{8}}


Option: 4

\sqrt{\frac{35}{6}}


Answers (1)

best_answer

T_1=2 \pi \sqrt{\frac{14 m}{8 k}}                          T_2=2 \pi \sqrt{\frac{2 m}{5 k}} \\

\frac{T_1}{T_2}=\frac{2 \pi \sqrt{\frac{14 m}{8 k}}}{2 \pi \sqrt{\frac{2 m}{5 k}}} \\

\frac{T_1}{T_2}=\sqrt{\frac{14 m \times 5 k}{8k\times 2 m}} \\

\frac{T_1}{T_2}=\sqrt{\frac{35}{8}}

Posted by

rishi.raj

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