×
Log in to StudySoup
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 4.3 - Problem 35e
Join StudySoup for FREE
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 4.3 - Problem 35e

Already have an account? Login here
×
Reset your password

Swinging Door. The motion of a swinging door with an

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 35E Chapter 4.3

Fundamentals of Differential Equations | 8th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

4 5 1 414 Reviews
25
5
Problem 35E

PROBLEM 35E

Swinging Door. The motion of a swinging door with an adjustment screw that controls the amount of friction on the hinges is governed by the initial value problem  Where θ is the angle that the door is open, I is the moment of inertia of the door about its hinges, b > 0 is a damping constant that varies with the amount of friction on the door, k > 0 is the spring constant associated with the swinging door,θ0 is the initial angle that the door is opened, and V0 is the initial angular velocity imparted to the door (see Figure 4.10). If I and k are fixed, determine for which values of b the door will not continually swing back and forth when closing.

Figure 4.10 Top view of swinging door

Step-by-Step Solution:

Solution

Step 1:

We have given the motion of swinging door with an adjustment screw that controls the amount of friction on the hinges governed by the initial value problem.

Where -moment of inertia of the door about its hinges.

-damping constant that varies with the amount of friction on the door.

initial angle that the door is opened

-initial angular velocity imparted to the door.

  and are fixed we have to determine for which values of b the door will not continually swing back and forth when closing.

Step 2 of 2

Chapter 4.3, Problem 35E is Solved
Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Swinging Door. The motion of a swinging door with an