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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Work and energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning