This system of two springs in series is equivalent to a single spring, of spring constant k. The value of k can be found from the formula that applies to capacitors connected in series in an electrical circuit. What is the spring constant in parallel connection and series connection? Dec 15, If the period of an oscillatory motion is 2. How can I find the For the mass on the spring, how is the period of the harmonic motion related to the spring constant, k?
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Learn more about how FutureLearn is transforming access to education. Learn more about this course. Share this post. Q1 E : If a mass of normalsize 10 kg on a heavy industrial spring of normalsize cm creates an extension of normalsize 3 mm, then how much extension would be caused by normalsize 15 kg?
How much mass would we have to load onto the original spring to get an extension of normalsize 5 mm? But behind this law is another law which is a fine example of an inverse proportionality. What happens if we cut this spring into two equally sized pieces? More generally, the spring constant of a spring is inversely proportional to the length of the spring, assuming we are talking about a spring of a particular material and thickness.
So suppose we cut the spring in the example above exactly in two, creating two shorter springs each of length normalsize 3 cm. One of the smaller springs will have a spring constant which is twice the original.
That is because the spring constant and the length of the spring are inversely proportional. It only takes a minute to sign up. Connect and share knowledge within a single location that is structured and easy to search. For ex: Two connected rods hanging in series on a ceiling. But the force in the wire will be the same because it is massless and ideal.
The force that each spring experiences will have to be same, otherwise the springs would buckle. Sign up to join this community. The best answers are voted up and rise to the top.
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