Angular Momentum around CM In the class I claimed that regardless of the motion of an extended object, we have ext CM TCM where LCM and TOM are, respectively, the angular momentum and the net external torque around the CM. Assuming all the internal forces are central, prOve this result. (This result is surprising since the CM may be accelerating, so a fixed point in any inertial frame.) .ext that it is not necessarily Hint: You can define ra R+ r as shown in the following firgure. CM ra R a Ta

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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 42P: At a particular instant, a 1.0-kg particle’s position is , its velocity is , and the force on it is...
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Angular Momentum around CM In the class I claimed that regardless
of the motion of an extended object, we have
ext
CM TCM
where LCM and TOM are, respectively, the angular momentum and the net external
torque around the CM. Assuming all the internal forces are central, prOve this result.
(This result is surprising since the CM may be accelerating, so
a fixed point in any inertial frame.)
.ext
that it is not necessarily
Hint: You can define ra R+ r as shown in the following firgure.
CM
ra
R
a
Ta
Transcribed Image Text:Angular Momentum around CM In the class I claimed that regardless of the motion of an extended object, we have ext CM TCM where LCM and TOM are, respectively, the angular momentum and the net external torque around the CM. Assuming all the internal forces are central, prOve this result. (This result is surprising since the CM may be accelerating, so a fixed point in any inertial frame.) .ext that it is not necessarily Hint: You can define ra R+ r as shown in the following firgure. CM ra R a Ta
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