Dynamics of a falling (pinned) sign A uniform sign is nailed into a wall at its top two corners. The nail on the upper-right corner breaks, and the sign begins to rotate about the remaining nail in the upper-left corner. The mass of the sign is 198 kg, L = 5.2 m, H = 8.6 m, and the moment of inertia of the sign about the upper-left corner is 6666 kg - m². Opts Opts Opts What is the magnitude of the total acceleration of the center of mass of the sign just after the nail breaks?

Dynamics of a falling (pinned) sign A uniform sign is nailed into a wall at its top two corners. The nail on the upper-right corner breaks, and the sign begins to rotate about the remaining nail in the upper-left corner. The mass of the sign is 198 kg, L = 5.2 m, H = 8.6 m, and the moment of inertia of the sign about the upper-left corner is 6666 kg - m². Opts Opts Opts What is the magnitude of the total acceleration of the center of mass of the sign just after the nail breaks?

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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Question

**Dynamics of a Falling (Pinned) Sign**

A uniform sign is nailed into a wall at its top two corners. The nail on the upper-right corner breaks, and the sign begins to rotate about the remaining nail in the upper-left corner. The mass of the sign is \(198 \, \text{kg}\), \(L = 5.2 \, \text{m}\), \(H = 8.6 \, \text{m}\), and the moment of inertia of the sign about the upper-left corner is \(6666 \, \text{kg} \cdot \text{m}^2\).

What is the magnitude of the total acceleration of the center of mass of the sign just after the nail breaks?

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**Diagram Explanation:**

The diagram illustrates a vertical rectangular sign pinned at the top two corners, showing lengths labeled \(L\) (horizontal width) and \(H\) (vertical height), with circles marking the points where it is nailed to the wall. After the upper-right nail breaks, the sign pivots around the upper-left corner.

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