What do I do next to solve for m?

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Amy Joyce Valencia
Amy Joyce Valencia on 22 Oct 2021
Commented: Star Strider on 23 Oct 2021
clear
syms f m g L I
E = 2*pi*f == sqrt((m*g*L)/I)
E = 
%What is the mass when...
m = solve(E,m)
Warning: Solutions are only valid under certain conditions. To include parameters and conditions in the solution, specify the 'ReturnConditions' value as 'true'.
m = 
subs(E, f ,0.1);
subs(E, I, 50);
subs(E, g, 9.8);
subs(E, L, 0.5);
Now I need to find a value for m but I'm not sure how to move forward with it

Answers (1)

Star Strider
Star Strider on 23 Oct 2021
The conditions only apply if the values of the constants are not defined first.
Try this —
syms f m g L I
f = sym(0.1);
I = sym(50);
g= sym(9.81);
L = sym(0.5);
E = 2*pi*f == sqrt((m*g*L)/I);
m = solve(E,m)
m = 
m_vpa = vpa(m, 42)
m_vpa = 
4.02430352745743470696615331289547446903719
.
  2 Comments
Amy Joyce Valencia
Amy Joyce Valencia on 23 Oct 2021
Do I have to use syms for every valuable? Or is there a way to shorten it?
Star Strider
Star Strider on 23 Oct 2021
It’s not necessary to use the Symbolic Math Toolbox at all —
f = 0.1;
I = 50;
g = 9.81;
L = 0.5;
E = @(m) 2*pi*f - sqrt((m*g*L)/I) % Anonymous Function
E = function_handle with value:
@(m)2*pi*f-sqrt((m*g*L)/I)
m = fzero(E, 10)
m = 4.0243
Although it only shows four decimal places, it retains full internal precison, so nothing is lost.
.

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