The Effective Force Constant of 'lo Springs. 'lo springs with the same unscratched length, but different force constants k, and k2 are attached to a block with mass m on a level, frictionless surface. Calculate the effective force constant kef in each of the three cases
(a),
(b), and
(c) Depicted in Fig. 13.43. (The effective force constant is defined by Fx = - keffx.)
(d) An object with mass m, suspended from a uniform spring with a force constant k, vibrates with a frequency f, when the spring is cut in half and the same object is suspended from one of the halves, the frequency is h. What is the ratio .f2/f1?

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(e) (b)