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A box of mass m is being pulled by a rope as shown. The force F in the rope as a
where N and µ are the normal force and friction coefficient between the box and surface, respectively. Consider the case where m = 18kg, h = 10 m, µ= 0.55, and g = 9.81 m/s2.
(a) Use MATLAB to derive an expression for F, in terms of x, h, m, g, and µ.
(b) Use the subs command to substitute m = 18 kg, h = 10 m, µ = 0.55, and g = 9.81 m/s2 into the expressions that were derived in part (a). This will give the force as a function of the distance x.
(c) Use the ezplot command to plot the force F as a function of x, for x starting at 5 and ending at 30 m.
(d) Determine the distance x where the force that is required to pull the box is the smallest, and determine the magnitude of that force.
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Chapter 11 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
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