A particle is confined to move along the horizontal slot due to the rotation of the arm as shown in the figure below. The rod rotates with a constant angular rate of 3 rad/s. The distance from the rod's pivot point to the slot is 0.5 m. The particle's position along the rod is given by r. Find the rate of change in this position when is 30 degrees.
A particle is confined to move along the horizontal slot due to the rotation of the arm as shown in the figure below. The rod rotates with a constant angular rate of 3 rad/s. The distance from the rod's pivot point to the slot is 0.5 m. The particle's position along the rod is given by r. Find the rate of change in this position when is 30 degrees.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1. A particle is confined to move along the horizontal slot due to the rotation of the arm as shown in the figure below. The rod rotates with a constant angular rate \(\dot{\theta}\) of 3 rad/s. The distance from the rod’s pivot point to the slot is 0.5 m. The particle’s position along the rod is given by \(r\). Find the rate of change in this position \(\dot{r}\) when \(\theta\) is 30 degrees.
**Diagram Description:**
- The diagram shows a rod attached to a pivot point at the bottom.
- The rod is positioned at an angle \(\theta\) from the vertical.
- A particle moves along the rod, confined to a horizontal slot.
- The distance between the pivot and the slot is labeled as \(h\).
- The position of the particle along the rod is indicated as \(r\).
- The rod forms an angle \(\theta\) with the vertical line.
The question asks to find the rate of change of the position \(r\) when the angle \(\theta\) is 30 degrees.
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