(14%) Problem 7: A suspension bridge oscillates with an effective force constant of 1.1 × 108...
A bridge oscillates too much during high winds. The bridge is modeled as a spring with simple harmonic motion. The mass of the bridge is 5.0x106 kg and its spring constant is 4.9x10' N/m. The peak vertical displacement of the bridge is 1.0 m from its equilibrium position. In order to reduce this motion, dampers are added to the bridge with a damping coefficient of 3.13x10² kg/s. a) Derive, but do not solve, the equation of motion which describes the...
A bridge oscillates too much during high winds. The bridge is modeled as a spring with simple harmonic motion. The mass of the bridge is 5.0x10 kg and its spring constant is 4.9x107 N/m. The peak vertical displacement of the bridge is 1.0 m from its equilibrium position. In order to reduce this motion, dampers are added to the bridge with a damping coefficient of 3.13x107 kg/s. a) Derive, but do not solve, the equation of motion which describes the...