For Example 2.12, what range of frequencies of the motion \(y(t)\) must be excluded to keep the maximum force at \(C\) less than \(10 \mathrm{~N}\) ?

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Example 2.12 Driving Sinusoidal Motion A rigid beam AB is pinned at A and driven at its free end with a small displacement y = Asin wt, as shown in Fig- ure 2.24. At the midpoint of the beam, point C, a mass m is suspended via a spring of constant k. (a) Derive a general expression for the maximum steady-state force on the beam at C due to the motion of the mass. (b) Calculate this force for the parameter values m = 0.75 kg, A = 10 mm, 1 = 1 m, w = 10 rad/s, and k = 150 N/m. 1/2 to -6000 1/2 k BT y = A sin wr Figure 2.24: Mass driven by sinusoidal motion.