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Differential Equation of Mass

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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?

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3. The figure below shows a spring/dashpot/mass system, with an extra applied force, F. In terms ...

Solution Summary

The solution uses the Laplace transfer function and solves for the deflection of the mass.

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See Also This Related BrainMass Solution

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.

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