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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» <html><body><p></p>Solution :Suppose length of `<a href="https://interviewquestions.tuteehub.com/tag/alpha-858274" style="font-weight:bold;" target="_blank" title="Click to know more about ALPHA">ALPHA</a>, <a href="https://interviewquestions.tuteehub.com/tag/beta-2557" style="font-weight:bold;" target="_blank" title="Click to know more about BETA">BETA</a>" and "gamma" are "l_(1), l_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)" and "l_(3)` respectively and total length `l= alpha+beta + gamma= l_(1), l_(2), l_(3)` <br/> `<a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a> l_(1)=` spring constant of `alpha` length <br/> `k_(1) = (kl)/(l_1)= (<a href="https://interviewquestions.tuteehub.com/tag/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</a>(alpha+beta+gamma))/(alpha)` <br/> ` l_(2)=` spring constant of `beta` length <br/> `k_(2) = (kl)/(l_2)= (k(alpha+beta+gamma))/(beta)` <br/> and ` l_(3)=` spring constant of `gamma` length <br/> `k_(3) = (kl)/(l_3)= (k(alpha+beta+gamma))/(gamma)`.</body></html> | |