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MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
A common amusement park ride is a Ferris wheel (not drawn to scale). Riders sit in chairs that are on pivots so they remain level as the wheel turns at a constant rate. A particular Ferris wheel has a radius of 24 meters, and it makes one complete revolution around its axle (at location A) in 20 seconds. In all of the following questions, consider location A (at the center of the axle) as the location around which we will
calculate the angular momentum At the Instant shown In the diagram, a chlld of mass 31 kg, sitting at location H, Is traveling wlth velocity < 0, 4.5, D> m/s. What Is the momentum of the chlld? p = kg-m/s In the definition EA =rxfi what is the vector F? r m What is u?
u = m What is the magnitude of the angular momentum of the child, about location A7 ‘5“ = kg-mzls Use the right-hand rule to determine the z-component of the angular momentum of the child, about location A: LA. = kg-mZ/s Images F23 right-hand rule to determlne the z-componen: of the angular momentum, but as a check, calculate Lu In terms of position and momentum:
z 11. = I kg-mzls What Is ll 'Px? 1/ -p. = kg~m2/s What is the z-component of the angular momentum of the child, about location A? LA: = kg-mz/s The Ferris wheel keeps turning, and at a later time, the same child is at location G, with coordinates < 45.971, -16.971, 11 > in relative to location A, moving with velocity < 5.303, —5.:io:l, a > m/s.
Now what is l ‘Pv? I 'P« = kg-mz/s What is y 'P:? w, = kg-mzls What Is the z-component of the angular momentum of the child, about location A?
Li, a kg-mzls
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