Answered: x² + y2 = r2 tr A = 2 4r 3n [C

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Mechanical Engineering

x² + y2 = r2 tr A = 2 4r 3n [C

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter31: Gas Heat

Section: Chapter Questions

Problem 5RQ: The specific gravity of natural gas is A. 0.08. B. 1.00. C. 0.42. D. 0.60.

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Concept explainers

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

The shaded area below is a semicircular area from your chart. Given that the equation for the
curve is ?2 +?2 =?2 prove using direct integration that the y coordinate of the centroid, ?̅, is
4r/3? You must draw you differential element on the figure and label ?̃ , ?̃.

You must use integration to find the first moment. However, to save time, you may use the area
of the semicircle: ∫??=?=??2/2

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