16–109. The ends of bar AB are confined to move along the paths shown. At a given instant, A has a velocity of 8 ft/s and an acceleration of 3 ft /s². Determine the angular velocity and angular acceleration of AB at this instant.
16–109. The ends of bar AB are confined to move along the paths shown. At a given instant, A has a velocity of 8 ft/s and an acceleration of 3 ft /s². Determine the angular velocity and angular acceleration of AB at this instant.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Problem 16–109**
The ends of bar \( AB \) are confined to move along the paths shown. At a given instant, \( A \) has a velocity of \( 8 \, \text{ft/s} \) and an acceleration of \( 3 \, \text{ft/s}^2 \). Determine the angular velocity and angular acceleration of \( AB \) at this instant.
**Diagram Explanation:**
The diagram depicts a mechanical system where bar \( AB \) is constrained to move such that point \( A \) slides vertically, and point \( B \) follows a curved path.
- **Velocity and Acceleration at Point A:**
- \( v_A = 8 \, \text{ft/s} \) (downward)
- \( a_A = 3 \, \text{ft/s}^2 \) (downward)
- **Bar AB Configuration:**
- The length of the bar \( AB \) is \( 4 \, \text{ft} \).
- Both \( A \) and \( B \) form a \( 30^\circ \) angle with the horizontal and vertical axis, respectively.
The main task is to calculate the angular velocity and angular acceleration of the bar \( AB \) at the given instant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb37d49d-6ab5-47ac-9eb7-91a9be28ff28%2F98017712-23ec-4334-ab8a-844bdec8e515%2Fpwkrhts_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 16–109**
The ends of bar \( AB \) are confined to move along the paths shown. At a given instant, \( A \) has a velocity of \( 8 \, \text{ft/s} \) and an acceleration of \( 3 \, \text{ft/s}^2 \). Determine the angular velocity and angular acceleration of \( AB \) at this instant.
**Diagram Explanation:**
The diagram depicts a mechanical system where bar \( AB \) is constrained to move such that point \( A \) slides vertically, and point \( B \) follows a curved path.
- **Velocity and Acceleration at Point A:**
- \( v_A = 8 \, \text{ft/s} \) (downward)
- \( a_A = 3 \, \text{ft/s}^2 \) (downward)
- **Bar AB Configuration:**
- The length of the bar \( AB \) is \( 4 \, \text{ft} \).
- Both \( A \) and \( B \) form a \( 30^\circ \) angle with the horizontal and vertical axis, respectively.
The main task is to calculate the angular velocity and angular acceleration of the bar \( AB \) at the given instant.
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