Two small blocks of mass m and 4m are connected to two springs as shown in fig. Both springs have stiffness K and they are in their natural length when the blocks are at point O. Both the blocks are pushed so that both the springs get compressed by a distance a. First the block of mass m is released and after it travels through a distance(1-(sqrt(3))/(2)) the second block is also released. (a) At what distance from point O will the two blocks collide? (b) How much time the two blocks need to collide after the block of mass 4m is released?

Two small blocks of mass m and 4m are connected to two springs as show

1.	Two small blocks of mass m and 4m are connected to two springs as shown in fig. Both springs have stiffness K and they are in their natural length when the blocks are at point O. Both the blocks are pushed so that both the springs get compressed by a distance a. First the block of mass m is released and after it travels through a distance(1-(sqrt(3))/(2)) the second block is also released. (a) At what distance from point O will the two blocks collide? (b) How much time the two blocks need to collide after the block of mass 4m is released?
Answer» ANSWER :(a) `a cos ((5 PI)/(18)), (b) (5pi)/(9) SQRT((m)/(k))`