AE 523 AEROELASTICITY 2021/2022 Autumn Term HW-2 Deadline: 03.11.2021 Dimension a cantilever beam with a 1 m length and a circular cross section of 50 mm diameter made of steel (E=200 Gpa, density: 8000 kg/m3). For this beam: 1. Calculate its first three distinct bending natural frequencies and plot the corresponding mode shapes. 2. Calculate the first two torsional natural frequencies and plot the mode shapes. 3. For the beam you have selected, you are given three accelerometers to identify the bending mode shapes. Locate them for each bending mode.