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## Homework Statement

a block of mass m as shown in figure lies on a smooth horizontal surface and springs are at natural length. when the block is displaced slightly then find the time period of oscillation

## Homework Equations

$$T=2\pi\sqrt{\frac{m}{k}}$$

for series connection of springs:##\frac{k_1k_2}{k€1+k_2}##

for parellel connection:##k_1+k€2##

## The Attempt at a Solution

for first 2 springs from top left,springs connected to block, equvivalent k is ##k##.

for bottom-most 2 springs 3k and 6k, k equivalent is ##2k## and you again have ##2k## for the bottom right corner spring.

how does the seperation between block and spring affect the time period?

when I tried solving the problem by neglecting the detached springs, I got wrong answer. so what is the concept behind this? how should I proceed in such tricky cases?

answer:##2\pi\sqrt{\frac{m}{7k}}##