Question

Uniform spring of force constant is k is cut into two pieces whose length are in the ratio of 1:2 . What is the force constant of second piece in terms of k.

Answer 1

Answer:

When spring of force constant K is and length l is cut into pieces of length l

1

,l

2

then spring constant k_1,k_2$$ have relation

k

1

l

1

=k

2

l

2

=k

0

l

0

Given

l

2

=

3

2l

0

⇒k

2

3

2l

0

=k

0

l

0

⇒k

2

=

2

3

k

0