The figure below shows a spring/dashpot/mass system, with an extra applied force, F. In terms of K, B, m, and F, what is the differential equation describing the deflection of the mass? What is the Laplace transfer function between input F and output x?
See attached file for full problem description.© BrainMass Inc. brainmass.com October 24, 2018, 8:37 pm ad1c9bdddf
Please see the attached file.
3. The figure below shows a spring/dashpot/mass system, with an extra applied force, F. In terms ...
The solution uses the Laplace transfer function and solves for the deflection of the mass.
Differential Equations : Masses and Springs
A body that weighs 16 lb. is attached to the end of a spring which is stretched 2 ft. by a force of 100 lb. It is set in motion from a position ½ foot from the equilibrium position of the spring with an initial velocity of -10 ft/sec.
(a) Find the differential equation that governs the position of the body over time relative to the equilibrium position of the spring.
(b) Solve the differential equation.View Full Posting Details