Find the velocity of the axle of the tire relative to a fixed point on the ground,
. Note the order of the subscripts: velocity of
axle measured relative to the
ground.
The pebble and tire have now rolled as shown in the figure. (
Intro 2 figure) Answer the following questions for
.
Find the position vector of the pebble relative to the initial point of contact between the wheel and ground at a time
,
.
Find
, the
velocity vector of the pebble with respect to a fixed point on the ground, in terms of the unit vectors
and
of the
xy coordinate system shown.
Now find
, the
acceleration vector of the pebble with respect to a fixed point on the ground.
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