Answer
$$
m=\left(\frac{l}{d+l}\right) M
$$
Work Step by Step
Moment at $A=m=F l$
Moment at $O=M=(d+l) F$
$$
\begin{aligned}
& M=(d+l) \frac{m}{l} \\
& m=\left(\frac{l}{d+l}\right) M
\end{aligned}
$$
Engineering Mechanics: Statics & Dynamics (14th Edition)
by Hibbeler, Russell C.
Published by
Pearson
ISBN 10:
0133915425
ISBN 13:
978-0-13391-542-6
Chapter 4 - Force System Resultants - Section 4.4 - Principle of Moments - Problems - Page 139: 17
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