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Problem 15-9: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 15

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 15

Question

A 200-kg crate rests on the ground where the coefficients of static and kinetic friction are $\mu_s = 0.5$ and $\mu_k = 0.4$, respectively. A horizontal towing force $T$ is applied to a cable attached to the crate. The force varies as $T = 400t^{1/2}$ N until $T = 800$ N (at $t = 4$ s), after which it remains constant at 800 N. Initially the tension is zero. Determine the speed of the crate at $t = 4$ s.

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