The moment of inertia for an extended body is I = r² dm. Prove that for a circular disc of mass M and radius R the moment of inertia, about an axis through its centre, is I = MR². A 80-kg man stands still on the rim of an initially stationary circular carousel of radius 3 m and mass 200 kg. The man begins to walk at 1 ms-¹ (with respect to the ground) along the rim. What is his angular velocity, w? What is his angular momentum? What is the angular velocity of the carousel? How fast is the man walking with respect to the carousel?

The moment of inertia for an extended body is I = r² dm. Prove that for a circular disc of mass M and radius R the moment of inertia, about an axis through its centre, is I = MR². A 80-kg man stands still on the rim of an initially stationary circular carousel of radius 3 m and mass 200 kg. The man begins to walk at 1 ms-¹ (with respect to the ground) along the rim. What is his angular velocity, w? What is his angular momentum? What is the angular velocity of the carousel? How fast is the man walking with respect to the carousel?

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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