a for a particle with mass m and position vector r(t) the angularmomentum 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 constantvector.

Answered: Image /qna-images/answer/56bcb4b4-f630-4c62-b56f-b04d09ec659a.jpg

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.

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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 43P

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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.

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