- #1
AdityaDev
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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 separation 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}}##