Consider a generalization of Example 2.10, where a mass moves to the left with speed \(v\) on a platform, disconnected from two springs, as shown in Figure 2.75. Assuming that there is no friction, find the period of oscillation of the mass, given the data: \(k_{1}=36 \mathrm{~N} / \mathrm{cm}, k_{2}=18 \mathrm{~N} / \mathrm{cm}, m=25 \mathrm{~kg}, b=30\) \(\mathrm{cm}, d=100 \mathrm{~cm}\), and \(v=6 \mathrm{~m} / \mathrm{s}\).

x2 60000 k m Hello k Figure 2.75: Mass oscillating between springs.