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Problem 14-3: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 14

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 14

Question

A crate with a mass of 100 kg is subjected to two forces: an 800 N force directed 30° below the horizontal (pushing to the right and downward), and a 1000 N rope force directed at an angle whose slope components are 3 vertical and 4 horizontal (i.e., at $\arctan(3/4)$ above the horizontal, pulling to the right and upward). The crate starts from rest on a horizontal surface with a coefficient of kinetic friction $\mu_k = 0.2$. Determine the distance $s$ the crate must slide to attain a speed of 6 m/s.

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