Expand the triple product for a = ω × ( ω × r ) given in the discussion of Figure 3.8. If r is perpendicular to ω (Problem 16), show thata = − ω 2 r , and so find the elementary result that the acceleration is toward the center of the circle and of magnitude v 2 / r .
Expand the triple product for a = ω × ( ω × r ) given in the discussion of Figure 3.8. If r is perpendicular to ω (Problem 16), show thata = − ω 2 r , and so find the elementary result that the acceleration is toward the center of the circle and of magnitude v 2 / r .
Expand the triple product for
a
=
ω
×
(
ω
×
r
)
given in the discussion of Figure 3.8. If
r
is perpendicular to
ω
(Problem 16), show thata
=
−
ω
2
r
,
and so find the elementary result that the acceleration is toward the center of the circle and of magnitude
v
2
/
r
.
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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