Can you minimize a function in MATLAB?

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Elise M.
Elise M. 2015-4-29
评论： the cyclist 2015-4-29
The force is F=(mMg)/(cos(theta)+Msin(theta), and theta is between 0 and pi/2 I have the values for m, M and g but I need to find the angle that the force is the smallest. I also need to find the magnitude of the force. To find the angle where force is the smallest, do I need to minimize it? How would I go about doing that?
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John D'Errico
John D'Errico 2015-4-29
编辑：John D'Errico 2015-4-29
It depends on what M means. If M has units, then, yes, there is arguably a problem, because we would have
cos(theta) + M*sin(theta)
in an additive expression. That works only if M is unit-less.
But to be honest, it looks like M might be unit-less. My guess is m is a mass, g looks like an acceleration. Therefore m*g is a force, and we have no use for units on M.
the cyclist
the cyclist 2015-4-29
You are absolutely correct. I assumed that M is a large mass, and m a small mass.

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回答（2 个）

the cyclist
the cyclist 2015-4-29
Yes, you can use the fminbnd function.
John D'Errico
John D'Errico 2015-4-29
Use fminbnd. I'll show you how to define the function.
F = @(theta) (m*M*g)./(cos(theta)+M*sin(theta));

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