A block of mass m is connected to two springs of force

Chapter 15, Problem 68

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A block of mass m is connected to two springs of force constants k1 and k2 in two ways as shown in Figure P15.68. In both cases, the block moves on a frictionless table after it is displaced from equilibrium and released. Show that in the two cases the block exhibits simple harmonic motion with periods (a) T 5 2p m1k1 1 k 2 2 k1k 2 and (b) T 5 2p m k 1 1 k 2

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