engineering recuitment HPCL Junior Executive 2025 Mock Test Mechanical Vibrations Undamped Free Vibration Torsional Vibration
Consider the arrangement shown in the figure below where J is the combined polar mass moment of inertia of the disc and the shafts. K1, K2 and K3 are the torsional stiffness of the respective shafts. The natural frequency of the torsional oscillation of the disc is given by-
1
\(\sqrt{\frac{K_1\;+\;K_2\;+\;K_3}{J}}\;\)
2
\(\sqrt{\frac{K_1K_2\;+\;K_2K_3\;+\;K_3K_1}{J(K_1\;+\;K_2)}}\;\)
3
\(\sqrt{\frac{K_1K_2K_3}{J(K_1K_2\;+\;K_2K_3\;+\;K_3K_1)}}\;\)
4
\(\sqrt{\frac{K_1K_2\;+\;K_2K_3\;+\;K_3K_1}{J(K_2\;+\;K_3)}}\;\)