Find the eigen values of the state matrix a

Assignment Help Mechanical Engineering

Reference no: EM13706003

Given the following differential equation: 4x'''+3x''+7x'+4.6x=5sin(t)

Derive the state space representation

Derive the characteristic equation

Find the eigen values of the state matrix A.

Is the system stable?

Reference no: EM13706003

Questions Cloud

Gear is put in neutral on level road without wind resistance : The rolling resistance of a 1200kg car depends on its weigh as F = 0.006m x gravity. How far will the car roll if at 90km/h the gear is put in neutral on a level road without wind resistance?

Determine the power required-in watts to compress the spring : The force F required to compress a spring a distance x is given by F - Fo = kx where k is the spring constant and Fo is the preload. Determine the work required to compress a spring, whose spring constant is k = 37 kN/m, a distance of 2 cm starting f..

Define a function m-file that calculates the displacement x : The following suspension system has two support structures-a spring and a rubber pad. Vertical force F (N) acts on the moveable plate. The spring has a spring constant of k1 = 1000 N/m. The rubber pad has a spring constant of k2 = 20000 N/m. The rubb..

Freshwater is impounded to a height : Freshwater is impounded to a height of 11 ft behind a dam as shown. Determine the magnitude and location of the resiltant force on the 4-ft by 4-ft gate.

Find the eigen values of the state matrix a : Given the following differential equation: 4x'''+3x''+7x'+4.6x=5sin(t), Derive the state space representation. Derive the characteristic equation.

Determine the specified property at the indicated state : For H2O, determine the specified property at the indicated state. Locate the state on a sketch of the T-v diagram. (A) T=140 degree Celsius, v=.5 m^3/kg. Find p, in bar (B) p=30 MPa, T=100 degree Celsius. Find v, in m^3/kg (C) p=10 MPa, T=485 degree ..

Exact location of points that appear in two dimensional plot : Determine one by one the exact location of the points that appear in the two dimensional plot of fig 2.8. How many different paths can the system follow from state a to state b (chapter 2, advanced engineering thermodynamics by began)

Block sliding along a frictionless surface with a velocity : A 10kg block sliding along a frictionless surface with a velocity of 10m/s comes into contact with a horizontal, uncompressed linear spring. If the spring slows the block down to 0 m/s while being compressed a total of 30 cm, what is its spring const..

Determines the power required to operate this ski lift : A ski lift has a one-way length of 1495m and a vertical rise of 285 m. The chairs are spaced 23 m apart, and each chair can seat three people. The lift is operating at a steady speed of 12 km/h.

User Account

All Pages