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Problem 15-10: 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. The coefficients of static and kinetic friction are $\mu_s = 0.5$ and $\mu_k = 0.4$. A winch delivers a horizontal towing force $T$ to its cable, which varies as $T = 400t^{1/2}$ N for $T \le 800$ N, then $T = 800$ N (constant). The cable is doubled (two cable segments pull the crate), so the net horizontal force on the crate is $2T$. Initially the tension is zero. Determine the speed of the crate at $t = 4$ s.

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