Considered a workbench that uses four large ideal springs in place of traditiona

Question

Considered a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 59800 N/m.  This workbench is used when creating products that involve highly unstable chemicals.  According to specifications the acceleration of the manufacturing equipment must be held to less than 29.0m/s^2 for the manufacturing process to proceed sagely.  The amplitude of vibration are expected to remain under .0622mm throughout. Given that the workbench and manufacturing equipment to 5.86kg, find the maximum acceleration expected for the equipment and workbench ignore mass of spring ___m/s^2

Does the workbench meet specifications _______

Industrial processes often require the damping of vibrations. Considered a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 59800 N/m. This workbench is used when creating products that involve highly unstable chemicals. According to specifications the acceleration of the manufacturing equipment must be held to less than 29.0m/s^2 for the manufacturing process to proceed sagely. The amplitude of vibration are expected to remain under .0622mm throughout. Given that the workbench and manufacturing equipment to 5.86kg, find the maximum acceleration expected for the equipment and workbench ignore mass of spring ___m/s^2 Does the workbench meet specifications Using shock absorbers, you decide to damp the oscillations applying one shock absorber to each spring. These shock absorbers apply a velocity-dependent drag force F = bv that opposes the motion of the bench. For proper damping, you decide that the motion of the bench should drop to half-amplitude within 0.225 seconds. When purchasing shock absorbers, what damping coefficient b should you specify to your industrial equipment supplier? (Assume that b2

Explanation / Answer

F = k*x

m*a = 59800*0.622*10^-3

a = (59800*0.622*10^-3)/5.85

a = 6.358 m/s^2


yes

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