Figure P5.2 illustrates a large rectangular block of height h, width w, breadth b, and density ρ and is supported by the hollow torsional shaft of length L, outside diameter dO, inside diameter dI , and modulus of rigidity G. The bottom of the block has an oil film between it and ground. The oil film generates a viscous resistance torque on the block with damping coefficient cθ. Properties: L = 1750 mm, dO = 150 mm, dI = 145 mm, G = 750 GPa, h = 500 mm, b = 550 mm, w = 750 mm, ρ = 7.85 (103) kg/m3, cθ = 2100 Nm s/rad.
Tasks:
(a) Draw a free-body diagram and obtain the EOM for the system.
(b) Determine the system’s undamped natural frequency, damping factor, and damped natural frequency.
Figure P5.2 illustrates a large rectangular block of height h, width w, breadth b, and density ?…
Figure P5.2 illustrates a large rectangular block of height h, width w, breadth b, and density ρ and is supported by the hollow torsional shaft of length L, outside diameter dO, inside diameter dI , and modulus of rigidity G. The bottom of the block has an oil film between it and ground. The oil film generates a viscous resistance torque on the block with damping coefficient cθ. Properties: L = 1750 mm, dO = 150 mm, dI = 145 mm, G = 750 GPa, h = 500 mm, b = 550 mm, w = 750 mm, ρ = 7.85 (103) kg/m3, cθ = 2100 Nm s/rad.
Tasks:
(a) Draw a free-body diagram and obtain the EOM for the system.
(b) Determine the system’s undamped natural frequency, damping factor, and damped natural frequency.
Figure P5.2 illustrates a large rectangular block of height h, width w, breadth b, and density ?…
