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i tried to do this question it was hard please i need help

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  1. Plot The coefficient of static friction versus theta for [0, 180] for different values (five values) of Ω > Ω???.
Ω??? = sqrt(g/r)
plot between coefficient of static friction in y-axis and theta for [0, 180] in x-axis for five angular velocity in the same plot.
coefficient of static friction in the given code is = x
This is the beginning of the code, can you please help in section two? thank you.
% Section 1 : To solve the two equations in term of cofficent of static
% friction & normal force.
% Variables naming:
% m: Mass of block A, kg.
% r: Radius of the drum, m.
% mu_s: Coefficient of static friction.
% N: Normal force, N.
% w = Angular velocity, rad/s.
% theta: Angular position, rad.
% g = Gravitational acceleration, m/s^2.
% x = mu_s
% y = N
clc
clear
syms theta w g m r x y
eqn1 = y-m*g*cos(theta)-m*r*w^2;
eqn2 = x*y-m*g*sin(theta);
[x,y] = solve(eqn1, eqn2)
% Section 2 : To plot coefficient of static friction vs theta for different angular speed
g = 9.81;
r = 0.7;
theta = (0:0.04:pi);Angspeed = sqrt(g/r);

Answers (1)

David Hill
David Hill on 18 Apr 2020
You said you wanted to plot vs. different angular speeds, but only one was provided.
g = 9.81;
r = .7;
theta = (0:0.04:pi);
w = sqrt(g/r);
mu_s=g*sin(theta)./(r*w^2 + g*cos(theta));%this is the equation that you determined
plot(theta,mu_s);

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