Figure Q2 shows two configurations of a part sorting machine in a production process. Since the process involve high speed movement, the design engineer have proposed two configurations of design as shown in Figure Q2 (a) – Configuration 1 and Figure Q2 (b) – Configuration 2. The mass m1 and m2 are 180 kg and 70 kg respectively and the spring coefficient, k = k1 = k2 = k3 = k4 = 300 N/m.
Figure Q2 shows two configurations of a part sorting machine in a production process. Since the process involve high speed movement, the design engineer have proposed two configurations of design as shown in Figure Q2 (a) – Configuration 1 and Figure Q2 (b) – Configuration 2. The mass m1 and m2 are 180 kg and 70 kg respectively and the spring coefficient, k = k1 = k2 = k3 = k4 = 300 N/m.
(a) Sketch the Free Body Diagram for each configuration (Configuration 1 and Configuration 2).
(b)Construct the Equation of Motion for each configuration (Configuration 1 and Configuration 2).
(c)Predict which configuration that would lead to the highest first natural frequency, ωn1. State the reason for your answer.
(d)Validate your answer in Q2(c) by providing natural frequency ωn calculation for each configuration.
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