A force given by F(t) = (5t-1/3t^2)i N acts on a mass m = 4.2 kg for 15 s. If thecoefficient of kinetic friction between m and the surface is μk = 0.20 and the coefficient of staticfriction between m and the surface is μs = 0.4. (a) What is the mass maximum acceleration? (b)At what time the mass will start moving? (c) What is the velocity when the force has themaximum value? (d) Plot the graph for the friction force vs time.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.12P
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A force given by F(t) = (5t-1/3t^2)i N acts on a mass m = 4.2 kg for 15 s. If the
coefficient of kinetic friction between m and the surface is μk = 0.20 and the coefficient of static
friction between m and the surface is μs = 0.4. (a) What is the mass maximum acceleration? (b)
At what time the mass will start moving? (c) What is the velocity when the force has the
maximum value? (d) Plot the graph for the friction force vs time.

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