Macmillan LearningIndustrial processes often require the damping of vibrations.Consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner ofthe workbench and exhibiting a force constant of k = 47500 N/m. This workbench is used when creating products that involvehighly unstable chemicals. According to specifications, the acceleration of the manufacturing equipment must be held to lessthan 21.6 m/s² for the manufacturing process to proceed safely. The amplitudes of vibrations are expected to remain under0.592 mm throughout. Given that the workbench and maufacturing equipment have a combined mass of m= 5.95 kg, find themaximum acceleration amax expected of the equipment and workbench. Ignore the mass of the springs.@max =Does the workbench meet the specifications for acceleration?yesnom/s²An engineer decides to damp the oscillations by applying one shock absorber to each spring. These shock absorbers apply avelocity-dependent drag force F = -bu that opposes the motion of the bench. For proper damping, the engineer decides that themotion of the bench should drop to half-amplitude within 0.479 s. In other words, within 0.479 s, the amplitude of motionshould drop by a factor of one half. When purchasing shock absorbers, what damping coefficient b should the engineer specifyto the industrial equipment supplier? Assume that the oscillations are underdamped.b =kg/s

Name: Macmillan LearningIndustrial processes often require the damping of v
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: Macmillan LearningIndustrial processes often require the damping of vibrations.Consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner ofthe workbench and exhibiting a force consta