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

Calculate the effective spring constant in each case and hence write t

1.	Calculate the effective spring constant in each case and hence write the expression for period of oscillation. Ignore the masses of the spring.
Answer» Solution :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))`