A light rigid rod of length l= 1.00 m rotates about an axisperpendicular to its length and through its center, as shownin Figure P8.51. Two particles of masses m1 = 4.00 kg andm2 = 3.00 kg are connected to the ends of the rod. What is theangular momentum of the system if the speed of each particleis 5.00 m/s? (Neglect the rod’s mass.) тgхтFigure P8.51

The expression for the angular momentum (l) is defined as

Answered: тg х т Figure P8.51

Science

Physics

тg х т Figure P8.51

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter9: Momentum And Its Conservation

Section: Chapter Questions

Problem 3STP

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Question

A light rigid rod of length l= 1.00 m rotates about an axis
perpendicular to its length and through its center, as shown
in Figure P8.51. Two particles of masses m₁ = 4.00 kg and
m₂ = 3.00 kg are connected to the ends of the rod. What is the
angular momentum of the system if the speed of each particle
is 5.00 m/s? (Neglect the rod’s mass.)

Definition Definition Product of the moment of inertia and angular velocity of the rotating body: (L) = Iω Angular momentum is a vector quantity, and it has both magnitude and direction. The magnitude of angular momentum is represented by the length of the vector, and the direction is the same as the direction of angular velocity.

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