Assignment:
Two springs with the same unstretched length, but different force constants and are attached to a block with mass on a level, frictionless surface. Calculate the effective force constant in each of the three cases depicted in the figure.
a). Express your answer in terms of the variables k1, m, k2
k_eff -c =
b). An object with mass , suspended from a uniform spring with a force constant , vibrates with a frequency . When the spring is cut in half and the same object is suspended from one of the halves, the frequency is . What is the ratio ?
Express your answer in terms of the variables k and m.
