Two springs, each with unscratched length 0.200 m, but with different force constants k, and k2 are attached to opposite ends of a block with mass m on a level, frictionless surface. The outer ends of the springs are now attached to two pins P, and P2, 0.100 m from the original positions of the ends of the springs (Fig. 13.42). Let k, = 2.00 N/m, k2 = 6.00 N/m, and m = 0.100 kg.
(a) Find the length of each spring when the block is in its new equilibrium position after the springs have been attached to the pins.
(b) Find the period of vibration of the block if it is slightly displaced from its new equilibrium position and released.