Hooke S Law

k%3D

force constant of spring = force/length. Increase in length due to force = force/

k%3D%5Cfrac%7BF%7D%7Bk%7D

Original length

%3DL

%5Ctherefore

Final length

%3DL%2B%5Cfrac%7BF%7D%7Bk%7D

%5Ctherefore

%5Cbeta%20%3DL%2B%5Cfrac%7B5%7D%7Bk%7D

%5Calpha%20%3DL%2B%5Cfrac%7B4%7D%7Bk%7D

%5Ctherefore

%5Cbeta%20-%5Calpha%20%3D%5Cfrac%7BI%7D%7Bk%7D

?..(i)

%5Ctherefore

%5Cbeta%20%3DL%2B5(%5Cbeta%20-%5Calpha%20)

%5Cbeta%20%3DL%2B5%5Cbeta%20-5%5Calpha

5%5Calpha%20-4%5Cbeta%20%3DL

When force

%3D9%5Ctext%7B%20%7DN%2C

final length be

l

l%3DL%2B%5Cfrac%7B9%7D%7Bk%7D%3D(5%5Calpha%20-4%5Cbeta%20)%2B9(%5Cbeta%20-%5Calpha%20)

%3D5%5Calpha%20-4%5Cbeta%20%2B9%5Cbeta%20-9%5Calpha%20%3D5%5Cbeta%20-4%5Calpha

Chapter Questions
1 MCQs