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Problem 16-9: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 16

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 16

Question

At the instant $\omega_A = 5$ rad/s, pulley A is given an angular acceleration $\alpha_A = (0.8\theta)$ rad/s², where $\theta$ is in radians. Pulley A (radius $r_A = 50$ mm) is connected by a belt to the outer rim of pulley C (outer radius $r_C = 40$ mm). Pulley C has an inner hub rigidly fixed to it with hub radius $r_B = 60$ mm; point B lies on the rim of this hub. Determine the magnitude of the acceleration of point B when pulley A has rotated 3 full revolutions from the initial instant.

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