Answer: Locate the center of mass of the homogeneous rod

Chapter 9, Problem 9-1

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QUESTION:

Locate the center of mass of the homogeneous rod bent into the shape of a circular arc.

Questions & Answers

QUESTION:

Locate the center of mass of the homogeneous rod bent into the shape of a circular arc.

ANSWER:

Step 1 of 2

Given, the radius of the circular arc, R = 300 mm

Diagram:

Consider a small differential element of the rod, dL whose length is given by,

\(d L=R d \theta\)

The centroid of the differential element is located at

\(\tilde{x}=R \cos \theta\) and \(\bar{y}=R \sin \theta\)

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