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?

... and differential equations. Solution: Volume of estuary = V = 1000 m3 Initial nutrient concentration in estuary water = ne0 = 35 g/m3 Initial mass of nutrients ...

... (a) Find the differential equation that governs ... so kx = 100 100 k= = 50lb / ft 2 When the mass is set in motion, there are two forces on the block, one is the ...

... 30 = c. dx/dt wx = 30. Solve this differential equation. ... Question 12. A mass of 25g is attached to a vertical spring with spring constant k = 3 dyne/cm. ...

... There are actually two wholly separate differential equations. ... of A first, then use this solution to solve for the concentration of B and ultimately the mass. ...

... the second law, 'net force = ma' to the moving mass at position ... of only parameters k, M, and x. (HINT: This equation is a second order differential equation. ...

... is equal to 3.2, the mass of the spherical object of radius 0.05 meters is 0.5kg adn the mass of the fluid is 0.1kg, solve the differential equation from part ...

First order differential equation.. Question 1: Two pendula of equal length l but different masses m and 2m swing in vacuum in the gravitational field with the ...

... By solving differential equations, It finds the motion equations of the mass, which is in simple harmonic oscillation driven by an external force. ...

Differential Equations - Systems of Equations, Laplace Transform System of Equations. ... The mass is then released from an initial position of 1 foot ...

... to ma where a is his inertial acceleration ie. the d 2x second derivative of displacement with respect to time, so we can write a dt 2 differential equation...