ch15-p107 - 107. (a) From Eq. 16-12, T = 2 m / k = 0.45 s ....

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107. (a) From Eq. 16-12, Tm k == 20 π /. 4 5 s . (b) For a vertical spring, the distance between the unstretched length and the equilibrium length (with a mass m attached) is mg / k , where in this problem mg = 10 N and k = 200 N/m (so that the distance is 0.05 m). During simple harmonic motion, the convention is to establish x = 0 at the equilibrium length (the middle level for the oscillation) and to write the total energy without any gravity term; i.e., EKU =+ , where 2 /2. Uk x = Thus, as the block passes through the unstretched position, the energy is Ek = 005 225 1 2 2 . ( . ) . J. At its topmost and bottommost points of oscillation, the
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