University Physics 1 - Momentum, Impulse, Collisions, Rotation of Rigid bodies, Dyanimcs of Rotational motion, Equilibrium, and Elasticity.I need help with this problem and an explanation of why its the answer described below: Question: Linear density of a rod of length L varies as λ = a + bx, where x is the distance from one end.Calculate the center of mass.Linear density (λ) =mass/lengthfp(2dx) fx(a+bx)dx_3aL +2bL²fxdmХст=fdm(Adx) √(a + bx)dx 3(2a + bL)=dx

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Answered: Question: Linear density of a rod of…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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University Physics 1 - Momentum, Impulse, Collisions, Rotation of Rigid bodies, Dyanimcs of Rotational motion, Equilibrium, and Elasticity.

I need help with this problem and an explanation of why its the answer described below:

Question: Linear density of a rod of length L varies as λ = a + bx, where x is the distance from one end.
Calculate the center of mass.
Linear density (λ) =mass/length
fp(2dx) fx(a+bx)dx_3aL +2bL²
fxdm
Хст
=
fdm
(Adx) √(a + bx)dx 3(2a + bL)
=
dx

Definition Video Definition A state wherein a body is not experiencing any resultant angular acceleration. If the net torque acting on the body is zero, then the body is said to be in rotational equilibrium. If the body is stationary and net torque is zero, then the body is in static rotational equilibrium. If the body is moving with constant velocity and net torque is zero, then, the body is said to be in dynamic rotational equilibrium. Video

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