m A hollow wheel of mass given by m = 50 kg rolls down an incline of 30° without slipping. The inner radius of the wheel is given by R = 50 mm and its thickness is given by d = 5 mm. Gravity acts down. (a) Show that the moment of inertia of the wheel is given by Ī= 138 125 kg mm². (b) Show that the linear acceleration of the wheel's centre of gravity a is related to the angular acceleration of the wheel a via a = (55 mm)a. (c) Analyse an appropriate free-body diagram to determine the linear acceleration of the wheel's centre of gravity ā.

m A hollow wheel of mass given by m = 50 kg rolls down an incline of 30° without slipping. The inner radius of the wheel is given by R = 50 mm and its thickness is given by d = 5 mm. Gravity acts down. (a) Show that the moment of inertia of the wheel is given by Ī= 138 125 kg mm². (b) Show that the linear acceleration of the wheel's centre of gravity a is related to the angular acceleration of the wheel a via a = (55 mm)a. (c) Analyse an appropriate free-body diagram to determine the linear acceleration of the wheel's centre of gravity ā.

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

R
-
m
130°
A hollow wheel of mass given by m 50 kg rolls down an incline of 30° without slipping. The inner
radius of the wheel is given by R = 50 mm and its thickness is given by d = 5 mm. Gravity acts down.
(a) Show that the moment of inertia of the wheel is given by Ī = 138 125 kg mm².
(b) Show that the linear acceleration of the wheel's centre of gravity ā is related to the angular
acceleration of the wheel a via a (55 mm)a.
=
(c) Analyse an appropriate free-body diagram to determine the linear acceleration of the wheel's
centre of gravity ā.

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Step 2: A) Show that the moment of Inertia,I=138,125kg-mm^2

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Step 3: B) Linear acceleration of the wheel's center of gravity is related to angular acceleration.

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Step 4: C) Analyse FBD and determine the acceleration of the center of gravity of the wheel.

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