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Knowing that a 5 60, replace the force and couple shown by a single force applied at a
Chapter 3, Problem 3.63(choose chapter or problem)
Knowing that \(\alpha = 60^\circ\), replace the force and couple shown by a single force applied at a point located
(a) on line AB,
(b) on line CD.
In each case determine the distance from the center O to the point of application of the force.
Questions & Answers
QUESTION:
Knowing that \(\alpha = 60^\circ\), replace the force and couple shown by a single force applied at a point located
(a) on line AB,
(b) on line CD.
In each case determine the distance from the center O to the point of application of the force.
Step 1 of 5
Part (a)
The equivalent force applied to the system can be expressed as,
\(\mathbf{R}=F(\cos \alpha \mathbf{i}+\sin \alpha \mathbf{j})\)
For \(\alpha=60^{\circ}\) and \(F=960 \mathrm{~N}\).
\(\begin{aligned}
\mathbf{R} & =(960)\left(\cos 60^{\circ} \mathbf{i}+\sin 60^{\circ} \mathbf{j}\right) \\
& =(960)(0.5 \mathbf{i}+0.866 \mathbf{j}) \\
& =(480 \mathrm{~N}) \mathbf{i}+(831.4 \mathrm{~N}) \mathbf{j}
\end{aligned}\)