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find the wave velocity along a rope whose mass is 0372 kgm when stretched to a tension of 444 nthe response must be
derive the equation for the natural frequencies of a uniform cord of length i fixed at the two ends the cord is
a cord of length land mass per unit length p is under tension t with the left end fixed and the right end attached to a
a harmonic vibration has an amplitude that varies as a cosine function along the x-direction such thatya cos kx sin
write the equations of motion for the 3-dof system shown in figure in terms of the stiffness matrix by lettingm1m2m3m
the frame of prob 7-20 is loaded by springs and masses as shown in fig p7-21 determine the equations of motion and the
using area moment and superposition determine m1 and r2 for the beam shown in figure letnbsp el12el2the response must
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