Home /
Expert Answers /
Electrical Engineering /
the-uniform-bar-shown-in-the-attached-figure-is-pivoted-at-point-o-its-motion-is-controlled-by-thre-pa809
(Solved): The uniform bar shown in the attached figure is pivoted at point O. Its motion is controlled by thre ...
The uniform bar shown in the attached figure is pivoted at point O. Its motion is controlled by three springs and a damper as illustrated; find the value of the damping coefficient C, if the damping ratio is to be 0.4. Given the following data Data: k₁-7000 N/m, k₂=8000 N/m, ky 10000 N/m, M-12 kg, b=0.4 m a=0.2 m J-0.5 Kg.m²
The uniform bar shown in the attached figure is pivoted at point . Its motion is controlled by three springs and a damper as illustrated; find the value of the damping cocfficient , if the damping ratio is to be 0.4 . Given the following data Data: ,
Expert Answer
Solution:To find the value of the damping coefficient C, we can use the damping ratio formula and the given data. The damping ratio (?) is defined as the ratio of the actual damping coefficient (c) to the critical damping coefficient (cc). The critical damping coefficient is calculated using the formula: Where M is the mass of the bar and k is the equivalent spring constant.In this case, the equivalent spring constant (keq) can be calculated as follows: Once we have the critical damping coefficient, we can find the actual damping coefficient using the damping ratio formula: