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Problem H.1.B Given: A particle P travels on a path described by the Cartesian coordinates of y=cx(b-x) , where x and y have the units
Problem H.1.B\ Given: A particle
P
travels on a path described by the Cartesian coordinates of
y=cx(b-x)
,\ where
x
and
y
have the units of meters. The
x
-component of velocity,
x^()
, for
P
is constant.\ Find: For this problem:\ (a) Make a sketch of the path of
P
over the range of
Px=0PPx=(b)/(2)Pb=2m,c=(5)/(m)x^()=4(m)/(s)0.\ (b) Determine the Cartesian components of the velocity and acceleration of P at x=0. Add a\ sketch of the velocity and acceleration vectors for P to your path drawn above.\ (c) Determine the Cartesian components of the velocity and acceleration of P at x=(b)/(2.) Add a\ sketch of the velocity and acceleration vectors for P to your path drawn above.\ Use the following parameters in your analysis: b=2m,c=(5)/(m) and x^()=4(m)/(s).
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