Two identical springs of spring constant K are attached to a block of mass m and fixed supports as shown in Fig (Image 01). Shown that when the mass is displaced from its equilibrium position on either side, it executes a simple harmonic motion. Find the period of oscillations.
1
\(T = 2\;\pi \sqrt {\frac{m}{{2k}}} \)
2
\(T = 2\;\pi \sqrt {\frac{m}{{3k}}}\)
3
\(T = 2\;\pi \sqrt {\frac{m}{{4k}}}\)
4
\(T = 2\;\pi \sqrt {\frac{m}{{5k}}} \)