Halliday, Fundamentals of Physics, 10e PRINTER VERSION BACK NEXT Chapter 11, Pro

Question

Halliday, Fundamentals of Physics, 10e PRINTER VERSION BACK NEXT Chapter 11, Problem 041 The figure shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 4.2 s. If R - 2.0 m and m 4.9 kg, calculate the angular momentum about that ais. oblem Rotation ari oblem 2R oblem Number The number of significant digits is set to 2; the tolerance is +/-4% Click if you would like to Show Work for this question: Open Show Work Units blem blem blem blem blem GO TUTORIAL Question Attempts: Unlimited SAVE FOR LATER SOBHIT ANSER blem 7:02 PM 4/5/2018 here to search

Explanation / Answer

Rotational inertia is

I = Icircle + Isquare

Icircle = mR^2 / 2 + mR^2 = 3/2mR^2

Isquare = 2I(perpendicular + I(parallel)

Isquare = 2mR^2 / 3 + mR^2 = 5mR^2 / 3

I =  3/2mR^2 + 5mR^2 / 3

I = 19mR^2 / 6

I = (19 x 4.9 x 2^2) / 6

I = 62.1 kg.m^2

Angular momentum (L) = IW

L = 62.1 kg.m^2 x 2pi / 3

L = 130 kg-m^2/s

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