Three springs are connected to a mass m as shown in figure, When mass oscillates, what is the effective spring constant and time period of vibration? Given `k=2Nm^(-1)` and m=80 gram.

Explanation

The equivalent arrangement of spring system is shown in figure. This shows that all springs are connected in parallel. Therefore effective spring constant
`K=k+2k+k=4k=4xx2`
`8Nm^(-1)`
Time period,
`T=2pisqrt(m//4k)=2xx(22)/(7)sqrt(0.08//8)=0.628`