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Unformatted text preview: the vertical axis. At time t = 0 the puck is released
at height h with a purely angular initial velocity ω0 . Figure 1:
(a) Write down Newton’s second law ﬁrst in terms of cartesian coordinates and then in terms of cylindrical
polar coordinates. Which form would be easiest to use to solve for the motion of the ball described
above? Why? (If you need a reminder about what cylindrical polar coordinates are, problem 1.47 on p.
40 of Taylor might help. If you need a reminder about Newton’s law in other coordinate systems, you
might look back to Taylor’s discussion that led up to Eq 1.48 )
(b) Describe and/or sketch a prediction of what the motion of the ball will be for t > 0 . You can assume
that h and ω are positive, and that the ball is subject to the force of gravity (on earth) which points
in the −z direction.
ˆ (c) Use the equations you wrote in part...
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