Newton’s Second Law of Motion in vector form states thatF = dp/dt , where F is the force acting on an object of mass m andp = mr (t) is the object’s momentum. The analogs of force and momentum for rotational motion are the torque τ = r × F and angularmomentumJ = r(t) × p(t)Use the Second Law to prove that τ = dJ/dt

Newton’s Second Law of Motion in vector form states thatF = dp/dt , where F is the force acting on an object of mass m andp = mr (t) is the object’s momentum. The analogs of force and momentum for rotational motion are the torque τ = r × F and angularmomentumJ = r(t) × p(t)Use the Second Law to prove that τ = dJ/dt

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter13: Rotation Ii: A Conservation Approach

Section: Chapter Questions

Problem 45PQ: A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an...

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A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.
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