A sheet of metal lies on a roof which is inclined at an angle 0. The coefficient of kinetic friction between the sheet and roof is u (where u > tan 0). During the warmth of daytime, the sheet will expand slightly. And then during the nighttime it will contract. Let the coefficient of thermal expansion of the sheet be a, and let the difference in temperature between day and night be AT. Let the length of the sheet (from its upper edge to lower edge) be l. How far down the roof will the sheet move in one year if 0 = 30°, µ = 1, l = 1 m, AT = 10°C, and a = 17 · 10-“ (C°)-' (the a for copper)? Assume uniform contact with the roof. (Note: the change in length due to thermal expansion is AL = aLAT.)

A sheet of metal lies on a roof which is inclined at an angle 0. The coefficient of kinetic friction between the sheet and roof is u (where u > tan 0). During the warmth of daytime, the sheet will expand slightly. And then during the nighttime it will contract. Let the coefficient of thermal expansion of the sheet be a, and let the difference in temperature between day and night be AT. Let the length of the sheet (from its upper edge to lower edge) be l. How far down the roof will the sheet move in one year if 0 = 30°, µ = 1, l = 1 m, AT = 10°C, and a = 17 · 10-“ (C°)-' (the a for copper)? Assume uniform contact with the roof. (Note: the change in length due to thermal expansion is AL = aLAT.)

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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