Problem 109. Show that the expressions v = rw and α = ra hold for the motion of the center O of the wheelwhich rolls on the concave or convex circular arc, where @ and a arethe absolute angular velocity and acceleration, respectively, of thewheel.R 8 = 20R-rR-rW → Vo = rw (Concave arc), 8 ==VoR+r=WR+r→ Vo = rw (Convex arc)

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Problem 109. Show that the expressions v = rw and ar = ra hold for the motion of the center O of the wheel which rolls on the concave or convex circular arc, where w and a are the absolute angular velocity and acceleration, respectively, of the wheel. R

Problem 109. Show that the expressions v = rw and ar = ra hold for the motion of the center O of the wheel which rolls on the concave or convex circular arc, where w and a are the absolute angular velocity and acceleration, respectively, of the wheel. R

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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Question

Problem 109. Show that the expressions v = rw and α = ra hold for the motion of the center O of the wheel
which rolls on the concave or convex circular arc, where @ and a are
the absolute angular velocity and acceleration, respectively, of the
wheel.
R

8 = 20
R-r
R-r
W → Vo = rw (Concave arc), 8 =
=
Vo
R+r
=
W
R+r
→ Vo = rw (Convex arc)

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