afor a particle with mass m and position vector r(t) the angular momentum is defined as L(t) = r(t) x mv(t). The torque is defined as t(t) = r(t) × ma(t) t(t). Prove that if t(t) = 0 (zero vector) for all t then L(t) is a constant Prove that = dt vector.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 52PQ: Given a vector A=4.5+4.5j and a vector B=4.5+4.5j, determine the magnitude of the cross product of...
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a for a particle with mass m and position vector r(t) the angular
momentum is defined as L(t) = r(t) × mv(t). The torque is defined as t(t) = r(t) × ma(t)
Prove that t(t). Prove that if t(t) = 0 (zero vector) for all t then L(t) is a constant
vector.
Transcribed Image Text:a for a particle with mass m and position vector r(t) the angular momentum is defined as L(t) = r(t) × mv(t). The torque is defined as t(t) = r(t) × ma(t) Prove that t(t). Prove that if t(t) = 0 (zero vector) for all t then L(t) is a constant vector.
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