Question

On a frictionless horizontal plane, a bob of mass $m=01\, kg$ is attached to a spring with natural length $l_0=01 \,m$. The spring constant is $k_1=0009 \,Nm ^{-1}$ when the length of the spring $l>l_0$ and is $k_2=0016\, Nm ^{-1}$ when $l < l_0$. Initially the bob is released from $l=015 \,m$. Assume that Hooke's law remains valid throughout the motion. If the time period of the full oscillation is $T =(n \pi) s$, then the integer closest to $n$ is ______

Answer 1

The integer closest to n is6.