When a reversing truck hit the post as shown in figure 3, an impulsive force of...

  

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When a reversing truck hit the post as shown in figure 3, an impulsive force of 100N is applied to the truck bed, resulting in the longitudinal vibration. The truck cab is much more massive than the bed, so can be regarded as a fixed boundary condition. The post is much lighter compared to the truck bed. Considering this scenario, identify the most suitable model and determine the following, a) Calculate the first four natural frequencies of the system. Assume that the bed is made of steel (E=210 GPa, p =7850 kg/m³), 10m long, 2m wide and 300mm high. (15 Marks) b) For the simplified system, how many times lower is the first transverse (bending) frequency than the first longitudinal frequency? TT Cab Bed OO Figure 3 Post (10 marks) When a reversing truck hit the post as shown in figure 3, an impulsive force of 100N is applied to the truck bed, resulting in the longitudinal vibration. The truck cab is much more massive than the bed, so can be regarded as a fixed boundary condition. The post is much lighter compared to the truck bed. Considering this scenario, identify the most suitable model and determine the following, a) Calculate the first four natural frequencies of the system. Assume that the bed is made of steel (E=210 GPa, p =7850 kg/m³), 10m long, 2m wide and 300mm high. (15 Marks) b) For the simplified system, how many times lower is the first transverse (bending) frequency than the first longitudinal frequency? TT Cab Bed OO Figure 3 Post (10 marks)

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