The two gears A and B have weights and radii of gyration of WA = 15 lb, kA = 0.5 ft and
Chapter 19, Problem 19-22(choose chapter or problem)
The two gears A and B have weights and radii of gyration of \(W_{A}=15 \ \mathrm{lb}, \quad k_{A}=0.5 \ \mathrm{ft}\) and \(W_{B}=10 \ \mathrm{lb}, \quad k_{B}=0.35 \ \mathrm{ft}\), respectively. If a motor transmits a couple moment to gear B of \(M=2\left(1-e^{-0.5 t}\right) \ \mathrm{lb} \cdot \mathrm{ft}\), where t is in seconds, determine the angular velocity of gear A in t = 5 s, starting from rest.
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