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A bar of mass `m` is suspended horizontally on two vertical springs of spring constant `k` and `3k`. The bar bounces up and down while remaining horizontal. Find the time period of oscillation of the bar neglect mass of springs and friction everywhere A. `2pisqrt((m)/(k))`B. `2pisqrt((m)/(3k))`C. `pisqrt((2m)/(3k))`D. `pisqrt((3m)/(4k))` |
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Answer» `x=` distance moved by rod `x_(1)=` extension in the spring of spring constant `3k`. `x_(2)=`extension in the spring of spring constant `k`. `x_(1)+x_(2)=2x` (constant relation) `3kx_(1)=kx_(2)`(tension in string is same) `-(3kx_(1)+kx_(2))=m(d^(2)x)/(dt^(2))` solving above `3` equations `rArr T=2pisqrt((m)/(3k))` |
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