Question

Determine the frequency of torsional vibration of a shaft with 2 circular disks of uniform thickness. Disk 1 weighs 450 kg and has a diameter of 1.25 m. Disk 2 has a weight of 900.0 kg and a diameter of 2.00 m. The length of the shaft is 3.00 m and has a diameter of 100.0 mm. All components are steel. Where is the nodal cross section? Shear Modulus: G = 79 GPa Young's Modulus: E = 200 GPa σ_yield: 250 MPa ρ: 7860 kg/m^3

Name: determine the frequency of torsional vibration of a shaft with 2 circular disks of uniform thickness disk 1 weighs 450 kg and has a diameter of 125 m disk 2 has a weight of 9000 kg and a dia 03213
Uploaded: 2023-09-04T07:02:58-08:00
Duration: 3 min 25 s
Channel: Adi S
Description: determine the frequency of torsional vibration of a shaft with 2 circular disks of uniform thickness disk 1 weighs 450 kg and has a diameter of 125 m disk 2 has a weight of 9000 kg and a dia 03213

          Determine the frequency of torsional vibration of a shaft with 2 circular disks of uniform thickness. Disk 1 weighs 450 kg and has a diameter of 1.25 m. Disk 2 has a weight of 900.0 kg and a diameter of 2.00 m. The length of the shaft is 3.00 m and has a diameter of 100.0 mm. All components are steel. Where is the nodal cross section?

Shear Modulus: G = 79 GPa
Young's Modulus: E = 200 GPa
σ_yield: 250 MPa
ρ: 7860 kg/m^3

Added by Pilar H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

09/04/2023

Step 1

For disk 1: m1 = 450 kg r1 = 0.625 m (half of the diameter) I1 = (1/2)(450 kg)(0.625 m)^2 = 87.89 kg·m^2 For disk 2: m2 = 900 kg r2 = 1.00 m (half of the diameter) I2 = (1/2)(900 kg)(1.00 m)^2 = 450 kg·m^2 Show more…

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Determine the frequency of torsional vibration of a shaft with 2 circular disks of uniform thickness. Disk 1 weighs 450 kg and has a diameter of 1.25 m. Disk 2 has a weight of 900.0 kg and a diameter of 2.00 m. The length of the shaft is 3.00 m and has a diameter of 100.0 mm. All components are steel. Where is the nodal cross section? Shear Modulus: G = 79 GPa Young's Modulus: E = 200 GPa σ_yield: 250 MPa ρ: 7860 kg/m^3