Calculate the effective spring constant in each case and hence write the expression for period of oscillation. Ignore the masses of the spring.

Explanation

Case (1) : `(1)/(k)=(1)/(k_(1))+(1)/(k_(2)+k_(3))+(1)/(k_(4))`
`"i.e. "(1)/(k)=((k_(2)+k_(3))k_(4)+k_(1)k_(4)+k_(1)k_(4)+k_(1)(k_(2)+k_(3)))/(k_(1)(k_(2)+k_(3))k_(4))`
`"& period of oscillation "T=2pisqrt((m)/(k))`
Case (ii) : `(1)/(k_(eq))=(1)/(2k)+(1)/(k)+(1)/(3k)=(3+6+2)/(6k)=(11)/(6k)`
`T.=2pisqrt((11m)/(6k))`