A spring has spring constant k and l. If it cut into piece spring in the proportional to alpha : beta : gamma then obtain the spring constant of every piece in term of spring constant of original spring (Here, alpha, beta " and "gamma are integers).

A spring has spring constant k and l. If it cut into piece spring in t

1.	A spring has spring constant k and l. If it cut into piece spring in the proportional to alpha : beta : gamma then obtain the spring constant of every piece in term of spring constant of original spring (Here, alpha, beta " and "gamma are integers).
Answer» Solution :Suppose length of `ALPHA, BETA" and "gamma" are "l_(1), l_(2)" and "l_(3)` respectively and total length `l= alpha+beta + gamma= l_(1), l_(2), l_(3)` `THEREFORE l_(1)=` spring constant of `alpha` length `k_(1) = (kl)/(l_1)= (K(alpha+beta+gamma))/(alpha)` ` l_(2)=` spring constant of `beta` length `k_(2) = (kl)/(l_2)= (k(alpha+beta+gamma))/(beta)` and ` l_(3)=` spring constant of `gamma` length `k_(3) = (kl)/(l_3)= (k(alpha+beta+gamma))/(gamma)`.