Solution Found!
The arm is rotating at a rate of u # = 4 rad>s when u $ =
Chapter 13, Problem 13-92(choose chapter or problem)
The arm is rotating at a rate of \(\dot{\theta}=4 \mathrm{rad} / \mathrm{s}\) when \(\ddot{\theta}=3 \mathrm{rad} / \mathrm{s}^{2}\) and \(\theta=180^{\circ}\). Determine the force it must exert on the 0.5-kg smooth cylinder if it is confined to move along the slotted path. Motion occurs in the horizontal plane.
Questions & Answers
QUESTION:
The arm is rotating at a rate of \(\dot{\theta}=4 \mathrm{rad} / \mathrm{s}\) when \(\ddot{\theta}=3 \mathrm{rad} / \mathrm{s}^{2}\) and \(\theta=180^{\circ}\). Determine the force it must exert on the 0.5-kg smooth cylinder if it is confined to move along the slotted path. Motion occurs in the horizontal plane.
ANSWER:Step 1 of 4
We have
Rate of rotation of arm \(\dot{\theta}=4 \mathrm{rad} / \mathrm{s}\)
\(\begin{array}{l}
\ddot{\theta}=3 \mathrm{rad} / \mathrm{s}^{2}\\
\theta=180^{\circ}
\end{array}\)
Mass of cylinder m = 0.5 kg
\(r=\frac{2}{\theta} m\)