**Problem 14.2**A 40 lb door with a width of 36 inches has a spring with an unstretched length of 4 inches designed to close the door when left open. The spring is anchored as shown below when closed (solid outline is closed, dotted outline is open 90°). If we want the door to have an angular velocity of 0.2 rad/s upon closing when released from rest at 90°, what should the spring constant of the spring be? (This is the top view of the door below)**Diagram Explanation:**The diagram shows a top view of the door in two positions: closed (solid outline) and open at 90 degrees (dotted outline). The spring is depicted as starting at a point 3 inches from the hinge and extending out towards the edge of the door when closed. The spring is anchored 4 inches beyond the hinge along the door’s width.**Solution:**\( k = 2.68 \, \text{lbs/ft} = .224 \, \text{lbs/in} \)---**Problem 14.3**

Answered: Image /qna-images/answer/c046730a-fbac-4bb2-9a34-33ff2b3b9bba.jpgAns The spring constant of the spring is

A 40 lb door with a width of 36 inches has a spring with an unstretched length of 4 in designed to close the door when left open. The spring is anchored as shown below when closed (solid outline is closed, dotted outline is open 90°). If we want the door to have an angular velocity of .2 rad/s upon closing when released from rest at 90°, what should the spring constant of the spring be? (This is the top view of the door below) 3 in (Solution: k = 2.68 lbs/ft =.224 lbs/in) 4 in 36 in

A 40 lb door with a width of 36 inches has a spring with an unstretched length of 4 in designed to close the door when left open. The spring is anchored as shown below when closed (solid outline is closed, dotted outline is open 90°). If we want the door to have an angular velocity of .2 rad/s upon closing when released from rest at 90°, what should the spring constant of the spring be? (This is the top view of the door below) 3 in (Solution: k = 2.68 lbs/ft =.224 lbs/in) 4 in 36 in

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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Conservation of Energy

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**Problem 14.2**

A 40 lb door with a width of 36 inches has a spring with an unstretched length of 4 inches designed to close the door when left open. The spring is anchored as shown below when closed (solid outline is closed, dotted outline is open 90°). If we want the door to have an angular velocity of 0.2 rad/s upon closing when released from rest at 90°, what should the spring constant of the spring be? (This is the top view of the door below)

**Diagram Explanation:**

The diagram shows a top view of the door in two positions: closed (solid outline) and open at 90 degrees (dotted outline). The spring is depicted as starting at a point 3 inches from the hinge and extending out towards the edge of the door when closed. The spring is anchored 4 inches beyond the hinge along the door’s width.

**Solution:**

\( k = 2.68 \, \text{lbs/ft} = .224 \, \text{lbs/in} \)

---

**Problem 14.3**

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Step 1: Calculation of stretch in spring when door open and close.

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