he right-angle bar with equal legs weighs /7.1 lb and is freely hinged to the vertical plate at C. The bar is prevented from rotating by he two pegs A and B fixed to the plate. Determine the acceleration a of the plate for which no force is exerted on the bar by either peg or B. 8.6" nswer: a = i 8.6" B C ft/sec²

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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### Problem Statement

The right-angle bar with equal legs weighs 7.1 lb and is freely hinged to the vertical plate at point C. The bar is prevented from rotating by two pegs, A and B, which are fixed to the plate. Determine the acceleration \(a\) of the plate for which no force is exerted on the bar by either peg A or B.

### Diagram Description

The diagram presents a setup where a right-angle bar is hinged to a vertical plate at point C and is supported by two pegs, A and B. Each leg of the L-shaped bar measures 8.6 inches.

- The vertical distance from the bottom to peg B is 8.6 inches.
- The horizontal distance from the left edge to peg A is 8.6 inches.
- Peg C is located at the junction of the right-angle bar.
- The acceleration "a" acts horizontally to the right on the plate.

### Solution and Calculation

To solve this mechanical problem, we need to calculate the acceleration \(a\) that ensures no force is exerted on the bar by either peg A or B.

### Answer Input

\[ \text{Answer: } a = \_\_\_\_ \text{ ft/sec}^2 \]

### Note

Make sure to input the final answer in the units of feet per second squared (ft/sec²).

This type of problem involves knowledge of statics and dynamics principles in mechanical engineering, specifically focusing on forces and accelerations in systems with hinges and pegs.
Transcribed Image Text:### Problem Statement The right-angle bar with equal legs weighs 7.1 lb and is freely hinged to the vertical plate at point C. The bar is prevented from rotating by two pegs, A and B, which are fixed to the plate. Determine the acceleration \(a\) of the plate for which no force is exerted on the bar by either peg A or B. ### Diagram Description The diagram presents a setup where a right-angle bar is hinged to a vertical plate at point C and is supported by two pegs, A and B. Each leg of the L-shaped bar measures 8.6 inches. - The vertical distance from the bottom to peg B is 8.6 inches. - The horizontal distance from the left edge to peg A is 8.6 inches. - Peg C is located at the junction of the right-angle bar. - The acceleration "a" acts horizontally to the right on the plate. ### Solution and Calculation To solve this mechanical problem, we need to calculate the acceleration \(a\) that ensures no force is exerted on the bar by either peg A or B. ### Answer Input \[ \text{Answer: } a = \_\_\_\_ \text{ ft/sec}^2 \] ### Note Make sure to input the final answer in the units of feet per second squared (ft/sec²). This type of problem involves knowledge of statics and dynamics principles in mechanical engineering, specifically focusing on forces and accelerations in systems with hinges and pegs.
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