A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in Figure 2. End P of spring PQ is subjected to a sinusoidal displacement, x(t) = xosinwt. l=1 m, k=1000 N/m, m=10 kg, xo=1 cm, and w=10 rad/s. a) Drive the equations of motion and find the natural frequency of the bar b) Find the steady-state angular displacement of the bar

Elements Of Electromagnetics
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Problem 2.
A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in
Figure 2. End P of spring PQ is subjected to a sinusoidal displacement, x(t) = x,sinwt.
1=1 m, k=1000 N/m, m=10 kg, xo=1 cm, and w=10 rad/s.
a) Drive the equations of motion and find the natural frequency of the bar
b) Find the steady-state angular displacement of the bar
Vont
do
Simulate the system and plot displacements for the following cases (choose suitable simulation
time for each case):
1) With the initial conditions theta0=thetad0=0, an excitation x=xesin(wt) is applied vertically
at point P. Choose such w values so that the system is
in resonancer
experiencing beating.
i.
D
ii.
xt t) = xo sin wt
Uniform bar,
k
mass m
Figure 2. Spring-mass system
Transcribed Image Text:Problem 2. A uniform bar of mass m is pivoted at point O and supported at the ends by two springs, as shown in Figure 2. End P of spring PQ is subjected to a sinusoidal displacement, x(t) = x,sinwt. 1=1 m, k=1000 N/m, m=10 kg, xo=1 cm, and w=10 rad/s. a) Drive the equations of motion and find the natural frequency of the bar b) Find the steady-state angular displacement of the bar Vont do Simulate the system and plot displacements for the following cases (choose suitable simulation time for each case): 1) With the initial conditions theta0=thetad0=0, an excitation x=xesin(wt) is applied vertically at point P. Choose such w values so that the system is in resonancer experiencing beating. i. D ii. xt t) = xo sin wt Uniform bar, k mass m Figure 2. Spring-mass system
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