Question #7: A bead B slides down and around a cylindrical surface on a helical wire (see figure below). The vertical drop of the bead as angle theta changes by 2pi is called the pitch p of the helix. R is the radius of the helix. First, noting that theta (and therefore also z) is a function of time, write expressions for r, v, and a of the bead vs. the coordinate system origin. Next, for the values of R = 0.3 m, p = 0.2 m, and theta = 0.6t rad (time in seconds), find the vector expressions for both velocity and acceleration when t = 10 s.

Question #7: A bead B slides down and around a cylindrical surface on a helical wire (see figure below). The vertical drop of the bead as angle theta changes by 2pi is called the pitch p of the helix. R is the radius of the helix. First, noting that theta (and therefore also z) is a function of time, write expressions for r, v, and a of the bead vs. the coordinate system origin. Next, for the values of R = 0.3 m, p = 0.2 m, and theta = 0.6t rad (time in seconds), find the vector expressions for both velocity and acceleration when t = 10 s.

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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