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An automobile wheel test rig consists of a uniform disk A, of mass mA = 5000 kg and radius rA = 1.5 m, that can rotate freely about its fixed center C and over which the wheel of an automobile is made to roll. A wheel B, whose center and center of mass coincide at D, is mounted on a shaft (not shown) that holds D fixed while it allows the wheel to rotate about D. The wheel has diameter d = 0.62 m, mass mg=21.5 kg, and mass moment of inertia about its mass center /D=44 kg-m². Both A and B are initially at rest when B is subject to a constant torque M that causes B to roll without slip on A. M B TA A If M = 1200 N-m, use the angular impulse-momentum principle to determine how long it takes to reach conditions simulating a car speed of 100 km/h. The automobile wheel test rig takes 17.95 s to reach conditions simulating a car speed of 100 km/h.

An automobile wheel test rig consists of a uniform disk A, of mass mA = 5000 kg and radius rA = 1.5 m, that can rotate freely about its fixed center C and over which the wheel of an automobile is made to roll. A wheel B, whose center and center of mass coincide at D, is mounted on a shaft (not shown) that holds D fixed while it allows the wheel to rotate about D. The wheel has diameter d = 0.62 m, mass mg=21.5 kg, and mass moment of inertia about its mass center /D=44 kg-m². Both A and B are initially at rest when B is subject to a constant torque M that causes B to roll without slip on A. M B TA A If M = 1200 N-m, use the angular impulse-momentum principle to determine how long it takes to reach conditions simulating a car speed of 100 km/h. The automobile wheel test rig takes 17.95 s to reach conditions simulating a car speed of 100 km/h.

Elements Of Electromagnetics
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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An automobile wheel test rig consists of a uniform disk A, of mass mд = 5000 kg and radius rà = 1.5 m, that can rotate freely about its fixed center C and over which the wheel of an automobile is made to roll. A wheel B, whose center and center of mass coincide at D, is mounted on a shaft (not shown) that holds D fixed while it allows the wheel to rotate about D. The wheel has diameter d = 0.62 m, mass mß = 21.5 kg, and mass moment of inertia about its mass center /D = 44 kg.m². Both A and B are initially at rest when B is subject to a constant torque M that causes B to roll without slip on A. M BC B TA If M = 1200 N.m, use the angular impulse-momentum principle to determine how long it takes to reach conditions simulating a car speed of 100 km/h. The automobile wheel test rig takes 17.95 s to reach conditions simulating a car speed of 100 km/h.
Transcribed Image Text:An automobile wheel test rig consists of a uniform disk A, of mass mд = 5000 kg and radius rà = 1.5 m, that can rotate freely about its fixed center C and over which the wheel of an automobile is made to roll. A wheel B, whose center and center of mass coincide at D, is mounted on a shaft (not shown) that holds D fixed while it allows the wheel to rotate about D. The wheel has diameter d = 0.62 m, mass mß = 21.5 kg, and mass moment of inertia about its mass center /D = 44 kg.m². Both A and B are initially at rest when B is subject to a constant torque M that causes B to roll without slip on A. M BC B TA If M = 1200 N.m, use the angular impulse-momentum principle to determine how long it takes to reach conditions simulating a car speed of 100 km/h. The automobile wheel test rig takes 17.95 s to reach conditions simulating a car speed of 100 km/h.
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