NEET2017PhysicsOscillationsActual
Four massless springs whose force constants are 2 k, 2 k, k and 2 k respectively are attached to a mass M kept on a frictionless plane as shown in the figure. If the mass M is displaced in the horizontal direction, then the frequency of the system is
Options
- A1 2 k 4 M
- B1 2 4 k M
- C1 2 k 7 M
- D1 2 7 k M
Correct answer
B. 1 2 4 k M
Step-by-step solution
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= 2 k 2 k 2 k+2 k +(k+2 k)=4 k Frequency v= 1 2 K M = 1 2 4 k M