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 mB= 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 s to reach conditions simulating a car speed of 100 km/h.

Elements Of Electromagnetics
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An automobile wheel test rig consists of a uniform disk A, of mass mà = 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
B
d
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
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 mà = 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 B d 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 s to reach conditions simulating a car speed of 100 km/h.
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