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with loads m and j placed as shown in figure set up the equations of motionthe response must be typed single spaced
determine the equation of motion for the system shown in figure and show that its characteristic equation is for equal
using the eigenvalues of problem demonstrate the gauss elimination methodproblemdetermine the equation of motion for
for the extension of the double pendulum to the dynamic problem the actual algebra can become long and tediousinstead
for the system in section the eigenvector for the first mode was determined by the gauss elimination method complete
in the method of cofactors app c4 the cofactors of the horizontal row and not of the column must be used explain whythe
draw a few other diagrams of systems equivalent to figure and determine the eigenvalues and eigenvectors for ki and mi
determine the influence coefficients for the three-mass system of figure and calculate the principal modes by matrix
using matrix iteration determine the three natural frequencies and modes for the cantilever be am of figurenote the
list the displacement coordinates ui for the plane frame of figure and write the geometrie eonstraint equations state
determine the equilibrium position of the two uniform bars shown in figure when a force p is applied as shown all
the four masses on the string in figure are displaced by a horizontal force f determine its equilibrium position by
in problem ml is given a small displacement and released determine the equation of oscillation for the
write lagranges equations of motion for the system shown in figurethe response must be typed single spaced must be in
using lagrangs method determine the equations for the small oscillation of the bars shown in figurethe response must be
the rigid bar linkages of example are loaded by springs and masses as shown in fig write lagranges equations of
for the system of figure determine the equilibrium position and its equation of vibration about it spring force 0 when
determine the equilibrium position of m1 and m2 attached to strings of equal length as shown in
a rigid uniform rod of length i is supported by a spring and a smooth floor as shown in figuredetermine its equilibrium
determine the equation of motion for small oscillation about the equilibrium position in problemproblema rigid uniform
the carpenters square of problem is displaced slightly from its equilibrium position and released determine its
equal masses are placed at the corners of the frame of example as shown in figure determine the stiffness matrix and
determine the stiffness matrix for the frame shown in figurethe response must be typed single spaced must be in times
choose the generalized coordinates qi for the previous problem and express the u coordinates in terms of
verify the relationship of equationby applying it to problemproblemfor the system shown in figure write the equations