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A cantilever Beam of length is shown in Figure 1. Provide answers to the following 3 questions: Write down the boundary conditions at the left side of the beam (built-in).

A cantilever Beam of length is shown in Figure 1. Provide answers to the following 3 questions:

1. Write down the boundary conditions at the left side of the beam (built-in)

2. Write down the boundary conditions at the right side of the beam (free end)

3. Derive the frequency equation of the lateral vibrations of the beam.