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

Question:
A 200-kilogram crate rests on the ground. The coefficients of static and kinetic friction are mu-s equals 0.5 and mu-k equals 0.4. A winch delivers a horizontal towing force T to its cable, which varies as T equals 400 times t to the one-half, in newtons, while T is less than or equal to 800 newtons, after which T remains constant at 800 newtons. The cable is doubled, meaning 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 equals 4 seconds.

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

This lesson applies the impulse-momentum principle to a crate pulled by a doubled cable whose tension varies as a square-root function of time. Students determine when static friction is overcome, set up and evaluate the impulse integral during the sliding phase, and c