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6. Two springs, each with relaxed lengths of 0.200 m but with different force constants ki = 2.5 N/m and k2 = 7.0 N/m, are

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6. Two springs, each with relaxed lengths of 0.200 m but with different force constants ki = 2.5 N/m and k2 = 7.0 N/m, are attached to opposite ends of a block with mass m = 0.100 kg resting on a frictionless horizontal surface. The outer ends of the springs are now attached to two pins (labeled P, and P2 on the figure below), 0.100 m from the original positions of the ends of the springs. (a) Find the new equilibrium position after the springs have been attached to the pins. (b) Find the period of the vibration if the block is slightly displaced from its new equilibrium position and released. 0.1 m 0.2 m 0.2 m 0.1 m P1 m P 2

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