1.

Consider the situastion shown in figure. Show that if that blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time period. A. `2pisqrt((m)/(k))`B. `2pisqrt((m)/(2k))`C. `2pisqrt((m)/(4k))`D. `2pisqrt((2m)/(k))`

Answer» Correct Answer - B
Reduced mass of the system
`mu=((m)(m))/(m+m)=(m)/(2)`
`therefore`Time period, `T=2pisqrt((mu)/(k))=2pisqrt((m)/(2k))`


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