Question

Four massless springs
whose spring constants
2K 2k
10000
are 2k, 2k, k and 2k பையை
M
2k
respectively are attached
10000
to a mass M kept on a
frictionless plane as shown in the figure. If the mass
is displaced in the horizontal direction, then the frequenc
of the system is​

Answer 1

Answer:Two springs on the L.H.S. of mass M are in series and two springs on the R.H.S. of mass M are in parallel. These combinations of springs will be considered in parallel to mass M. Thus effective spring constant,

K=  

2k+2k

2k×2k

​  

+(k+2k)=4k

∴ Frequency v=  

2π

1

​  

 

M

K

​  

 

​  

=  

2π

1

​  

 

M

4k

​  

 

​  

.

Explanation: