A mass m suspended at the end of spring of spring constant k and oscillate at periodic time T. If spring is cut into two part of equal length and tow pails are now connected in parallel and a block is suspended at the end of the combined spring and oscillate then find new periodic time.

A mass m suspended at the end of spring of spring constant k and oscil

1.	A mass m suspended at the end of spring of spring constant k and oscillate at periodic time T. If spring is cut into two part of equal length and tow pails are now connected in parallel and a block is suspended at the end of the combined spring and oscillate then find new periodic time.
Answer» `2T` `T` `(T)/(sqrt(2))` `(T)/(2)` Solution :`T propto (1)/(sqrt(k))` The effective force constant in parallel combination of SPRING when spring is divided into two equal parts `k_(2)= 2K+ 2k` `THEREFORE k_(2)= 4K` Now, `(T_2)/(T_1)= sqrt((k_1)/(k_2))= sqrt((k)/(4k))= (1)/(2)` `therefore T_(2)= (T_1)/(2)`.