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Explore tensions, accelerations, and angular acceleration in a pulley system with attached masses, solving for T, aA, aB, and a. An illustrative problem providing insights into motion dynamics.
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A cable is attached to the center of a 10 kg disk A, passes around a massless, frictionless pulley system, and suspends the 20 kg mass at B. When the system is released to move, determine: (a) The tension T in the cable; (b) Accelerations aA and aB; and (c) Angular acceleration, a, of disk A. Answers: T = 75.2 N; aB = 2.29 m/s2; aA = 4.59 m/s2; a = 6.13 rad/s2. Note: It turns out that the wheel slips, but assume no slip first….