A thin rod of length L = 1 m and mass m has a linear density X(x) = Ax5 where is the distance from the rod's left end. X(x) has units of kg/m and A = 8.77 with appropriate units that can't be displayed nicely due to Canvas limitations. Calculate the rod's moment of inertia I about an axis through x = 0 and perpendicular to the rod's length. (Hint: Evaluate the integral I = fr² dm where r = x is the distance from the axis to each element of mass dm = X(x) dx . Note: The rod's total mass mass m isn't needed but, if you would like to know it, you can find it by evaluating the integral m = fdm = f(x) dx.) I = kg. m² Record your numerical answer below, assuming three significant figures. Remember to include a "-" when necessary.

A thin rod of length L = 1 m and mass m has a linear density X(x) = Ax5 where is the distance from the rod's left end. X(x) has units of kg/m and A = 8.77 with appropriate units that can't be displayed nicely due to Canvas limitations. Calculate the rod's moment of inertia I about an axis through x = 0 and perpendicular to the rod's length. (Hint: Evaluate the integral I = fr² dm where r = x is the distance from the axis to each element of mass dm = X(x) dx . Note: The rod's total mass mass m isn't needed but, if you would like to know it, you can find it by evaluating the integral m = fdm = f(x) dx.) I = kg. m² Record your numerical answer below, assuming three significant figures. Remember to include a "-" when necessary.

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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