A rotor is mounted in bearings that are free to move in a single plane, as...

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A rotor is mounted in bearings that are free to move in a single plane, as shown in the following figure. The rotor has total mass M and moment inertia JG (JG=ML²) about its center of gravity. a. Draw free body diagram of the system. b. Derive the equation of motion. c. For L₁ = 0.75 L and L₂ = 0.25 L, calculate natural frequencies of the system. d. For L₁= 0.75 L and L₂ = 0.25 L, calculate mode shapes of the system. Find and sketch node location for each mode shape. 414 414 ww 4₁ 4₂ A rotor is mounted in bearings that are free to move in a single plane, as shown in the following figure. The rotor has total mass M and moment inertia JG (JG=ML²) about its center of gravity. a. Draw free body diagram of the system. b. Derive the equation of motion. c. For L₁ = 0.75 L and L₂ = 0.25 L, calculate natural frequencies of the system. d. For L₁= 0.75 L and L₂ = 0.25 L, calculate mode shapes of the system. Find and sketch node location for each mode shape. 414 414 ww 4₁ 4₂

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a Free Body Diagram of the System The free body diagram for the rotor system is shown in the following figure Free Body Diagram of the Rotor System The rotor is subject to the following forces and tor... View the full answer