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A small, 300-g collar D can slide on portion AB of a rod which is bent as shown. Knowing that a = 40° and that the rod rotates about the vertical AC at a constant rate of 5 rad/s, determine the value of r for which the collar will not slide on the rod if the effect of friction between the rod and the collar is neglected. B 0

A small, 300-g collar D can slide on portion AB of a rod which is bent as shown. Knowing that a = 40° and that the rod rotates about the vertical AC at a constant rate of 5 rad/s, determine the value of r for which the collar will not slide on the rod if the effect of friction between the rod and the collar is neglected. B 0

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Problem Statement:** A small, 300-g collar \( D \) can slide on portion \( AB \) of a rod which is bent as shown. Knowing that \(\alpha = 40^\circ \) and that the rod rotates about the vertical \( AC \) at a constant rate of 5 rad/s, determine the value of \( r \) for which the collar will not slide on the rod if the effect of friction between the rod and the collar is neglected. **Diagram Explanation:** The diagram depicts a vertical rod \( AC \) secured at both ends. A portion of the rod, \( AB \), is bent, allowing a collar \( D \) to slide along it. The angle \(\alpha \) is shown between the bent rod section \( AB \) and a horizontal reference line, marked as 40 degrees. The collar is subjected to rotational motion as the rod turns around the vertical line \( AC \) at a rate of 5 rad/s. The geometry illustrates the path the collar takes along the bent rod, with \( r \) representing the radial distance from point \( C \).
Transcribed Image Text:**Problem Statement:** A small, 300-g collar \( D \) can slide on portion \( AB \) of a rod which is bent as shown. Knowing that \(\alpha = 40^\circ \) and that the rod rotates about the vertical \( AC \) at a constant rate of 5 rad/s, determine the value of \( r \) for which the collar will not slide on the rod if the effect of friction between the rod and the collar is neglected. **Diagram Explanation:** The diagram depicts a vertical rod \( AC \) secured at both ends. A portion of the rod, \( AB \), is bent, allowing a collar \( D \) to slide along it. The angle \(\alpha \) is shown between the bent rod section \( AB \) and a horizontal reference line, marked as 40 degrees. The collar is subjected to rotational motion as the rod turns around the vertical line \( AC \) at a rate of 5 rad/s. The geometry illustrates the path the collar takes along the bent rod, with \( r \) representing the radial distance from point \( C \).
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