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Engineering and Tech / Engineering Mechanics Dynamics (1) 1 14 / Chapter 19 / Problem F19-1

Engineering Mechanics Dynamics (1) 1 | 14th Edition | ISBN: 9780133915389 | Authors: Russell C. Hibbeler

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The 60@kg wheel has a radius of gyration about its center O of kO = 300 mm. If it is

Chapter 19, Problem F19-1

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QUESTION:

The 60-kg wheel has a radius of gyration about its center O of \(k_{O}=300 \ \mathrm{mm}\). If it is subjected to a couple moment of \(M=\left(3 t^{2}\right) \ \mathrm{N} \cdot \mathrm{m}\), where t is in seconds, determine the angular velocity of the wheel when t = 4 s, starting from rest.

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QUESTION:

The 60-kg wheel has a radius of gyration about its center O of \(k_{O}=300 \ \mathrm{mm}\). If it is subjected to a couple moment of \(M=\left(3 t^{2}\right) \ \mathrm{N} \cdot \mathrm{m}\), where t is in seconds, determine the angular velocity of the wheel when t = 4 s, starting from rest.

ANSWER:

Problem F19-1

The 60-kg wheel has a radius of gyration about its center O of = 300 mm. If it is subjected to a couple moment of M = (3t) N m, where t is in seconds, determine the angular velocity of the wheel when t = 4 s, starting from rest.

Step by Step Solution

Step 1 of 2

Given

The mass moment of inertia of the wheel about the center can be determined as

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