A along in positive direction with a constant speed vo. At t=0, the mass passes through the origin and is subject to the force F = -Fo(x/H)e^(-x/H) for x >0. Fo and H are both positive constants. a. Calculate the minimum initial speed required
A along in positive direction with a constant speed vo. At t=0, the mass passes through the origin and is subject to the force F = -Fo(x/H)e^(-x/H) for x >0. Fo and H are both positive constants. a. Calculate the minimum initial speed required
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Transcribed Image Text:A mass (m) moves along the x-axis in the
positive direction with a constant speed vo. At
t=0, the mass passes through the origin and is
subject to the force F = -Fo(x/H)e^(-x/H) for x
>0. Fo and H are both positive constants.
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a. Calculate the minimum initial speed required
for the mass to pass through the origin and
never turn back in terms of the constants m, Fo,
and H.
b. Write the velocity of m in unit vector notation,
long after it crosses the origin (t>>0) and in the
the case of vo>v0min where vomin is the result
in part a.
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