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a jig used to size coal contains a screen that reciprocates with a frequency of 600 cpm the jig weighs 500 ib and has a
determine the natural frequencies and normal modes of the system shown in figure
an airfoil section to be tested in a wind tunnel is supported by a linear spring k and a torsional spring k as shown in
a rotor is mounted in bearings that are free to move in a single plane as shown in figure the rotor is symmetrical
in problem if the two masses are made equal show that normal mode frequencies are establish the configuration for
determine the equations of motion for the system of problem when the initial conditions arex10a
assuming small amplitudes set up the differential equations of motion for the double pendulum using the coordinates
determine the natural frequency of the torsion al system shown in figure and draw the normal mode curve g 115 x 106
if k1 0 in the torsional system of problem the system becomes a degenerate two-dof system with only one natural
find the critical points of the function f x y x3 y3 - 6y2 - 3x 9 classify each critical point as a local max local
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use the babylonian method to estimate the square root of 80 to the nearest
an electric train made up of two cars each weighing 50000 lb is connected by couplings of stiffness equal to 16000 lbin
a city has a population of 390000 people suppose that each year the population grows by 375 what will the population be
the manager of a bulk foods establishment sells a trail mix for 8 per pound and premium cashews for 15 per pound the
set up the equations of motion of the double pendulum in terms of angles theta1 and theta2 measured from the
in problem if m1 2m and m2 m determine the normal mode frequencies and mode shapesproblemtwo masses m1 and m2 are
the probability that a house in a wooded area will catch fire is 9 if 46 houses are randomly selected what is the
how long will it take to double 300 if it is invested at 7 annual interest compounded two times per
1 an object stretches a spring 6 inches in equilibrium1 set up the equation of motion and find its general solution2
two equal pendulums free to rotate about the x-x axis are coupled together by a rubber hose of torsion al stiffness k
consider the forced spring mass system dy2dt2 5y 6 sinalphat where alpha is a parameter1 for which value of alpha
tyler borrows 200 from the bank to buy new uniforms for his baseball team the annual simple interest rate is 6 he
from the model above use the regression equation and estimate the weight of the bear if the length of the bear is 150
compare probs1 and 2 in matrix form and indicate the type of coupling present in each coordinate systemproblem