Question

3. A particle of mass 'm' is attached to four spring with
spring constant k.k, 2k and 2k as shown in the figure
Four springs are attached to the four corners of a
square and a particle is placed at the center. If the particle
is pushed slightly towards any side of the square and
released, the period of oscillation will be
k
ceeeel
mo
2k
reece
2K​

Answer 1

Answer:This may help you

Explanation:

In the given figure, the two springs above are in parallel with each other, giving an equivalent spring constant of k+k=2k.

Similarly the two springs below are also connected in series with each other, and giving an equivalent spring constant of k+k=2k.

These two springs are connected in series giving net spring constant for the system = 2k+2k(2k)(2k)=k

Hence the time period of the motion of system =2π km