The arm is rotating at a rate of u # = 4 rad>s when u $ =

Chapter 13, Problem 13-92

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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.

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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

\(r=\frac{2}{\theta} m\)

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