Text Book is Engineering Mechanics (14th Edition) Question: write a MATLAB code

Question

Text Book is Engineering Mechanics (14th Edition)

Question: write a MATLAB code that solves example 13.1(modified). When the program runs it must guess the value of the angle. This is the angle required to have the crate reach a velocity of 15.6 m/s in 3 s. In my example, I assumed that the force P was unknown and I found P for the crate to reach a velocity of 15.6 m/s in 3 s.

Your Problem Statement: The 50-kg crate shown in Fig. 13-6a rests on a horizontal surface for which the coefficient of kinetic friction is 0.3 k . If the crate is subjected to a towing force P of 400-N at an angle (unknown) with the horizontal as shown and reaches 15.6 m/s in 3 s, what is the angle of P?

Helper: Example 13.1 (modified) clear all clc % Data m=50; g=9.81; theta-30; t-3; v0-0 % guess P for i-1:1:500 % Calculate velocity Nc=m * g-P*sind (the ta) ; a (P*cosd (theta) -muK*Nc) /m; v=v0+a*t; % Check answer and stop when if v>=15.6 answer is correct break; end end

Explanation / Answer

code:

%Data

m=50;

g=9.81;

muK=0.3;

p=400;

t=3;

v0=0;

%guess P

for i=1:1:500

    theta=i

    %calculate velocity

    Nc=m*g-p*sind(theta);

    a=(p*cosd(theta)-muK*Nc)/m;

    v=v0+a*t

    %check answer and stop when answer is correct

    if v>=15.6

        theta

        break;

    end

end

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