Example 7 The 100-lb wheel has a radius of gyration of kg = 0.75 ft. If the upper wire is subjected to a tension of T = 50 lb, determine the velocity of the center of the wheel in 3 s, starting from rest. The coefficient of kinetic friction between the wheel and the surface is μK = 0.1.

Example 7 The 100-lb wheel has a radius of gyration of kg = 0.75 ft. If the upper wire is subjected to a tension of T = 50 lb, determine the velocity of the center of the wheel in 3 s, starting from rest. The coefficient of kinetic friction between the wheel and the surface is μK = 0.1.

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

Example 7
The 100-lb wheel has a radius of gyration of kG = 0.75 ft. If
the upper wire is subjected to a tension of T = 50 lb,
determine the velocity of the center of the wheel in 3 s,
starting from rest. The coefficient of kinetic friction between
the wheel and the surface is μK = 0.1.
0.5 ft
1 ft

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Step 1: Given data.

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Step 2: Calculations for the mass moment of inertia of the wheel about A:

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Step 3: Apply principal of impulse and momentum equation about A:

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Step 4: Determine the velocity at the centre of the wheel.

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