A thin, semi-circular ring of mass m and radius R is pinned to ground at point O. The bar is released from rest in the position shown. Note that a = 2R, IG= mR² - ma² (a) Find the mass moment of inertia of the body about point O (b) Find the angular acceleration of the ring when released (c) Find the reaction forces on the ring at point O g

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 4.
A thin, semi-circular ring of mass m and radius R is
pinned to ground at point O. The bar is released from
rest in the position shown. Note that a = 2R, IG =
mR² - ma²
(a) Find the mass moment of inertia of the body about
point O
(b) Find the angular acceleration of the ring when
released
(c) Find the reaction forces on the ring at point O
Ans: (b) a=0.5(g/R); (c) Ox = (mga)/(2R), Oy = mg/2
6.0
g
G
a
-R-
Transcribed Image Text:Problem 4. A thin, semi-circular ring of mass m and radius R is pinned to ground at point O. The bar is released from rest in the position shown. Note that a = 2R, IG = mR² - ma² (a) Find the mass moment of inertia of the body about point O (b) Find the angular acceleration of the ring when released (c) Find the reaction forces on the ring at point O Ans: (b) a=0.5(g/R); (c) Ox = (mga)/(2R), Oy = mg/2 6.0 g G a -R-
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