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Mechanics

A spring of force constant k is cut into three equal parts. What is the force constant of each part ?

Profile image of Fawz  Naim
15 Years agoGrade
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3 Answers

Profile image of SAGAR SINGH - IIT DELHI
15 Years ago

Dear student,

Each will have a force constant of 3k..

1/k=1/3k   + 1/3k  + 1/3k

 

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Sagar Singh

B.Tech, IIT Delhi

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Profile image of vikas askiitian expert
15 Years ago

length of each part = L/3

 K inversly proportional to length so

K/K1 = L1/L

K1 = KL/L1 = KL/L/3 = 3K

each part will have force constant = 3k

Profile image of Kushagra Madhukar
6 Years ago
Dear student,
 
length of each part = L/3
SInce, K inversly proportional to length so
K/K* = L*/L

K* = KL/L* = KL/(L/3) = 3K

each part will have force constant = 3k

 

Thanks and regards,

Kushagra