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two massless springs of foce constant K.What is the time period of oscillation?

two massless springs of foce constant K.What is the time period of oscillation?

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Grade:12th pass

2 Answers

Saurav
224 Points
5 years ago
the question is preety simple
first assume mass m is displacement be x amount at particular instant
then you can see in top most spring the extension will be x/2
now write the energy equation
it will be mgx=1/2  mv2 + ½ k x2 +1/2 k(x/2)2
now difentiate it wrt t 
you will get a=  -10kx/8  + 5 mg
a  \alpha  -(5k/4)x
therefore keffective =5k/4
now T=2\pi root(m/keffective)
=2\pi root(4m/5k)
 
please approve
xxxxxxx
Forum Team
94 Points
5 years ago
Dear Saurav,
 
Please stop promoting your blog here. If you can answer queries of students here then it would be great otherwise guiding students to move to your blog is against forum policy. You will not be awarded for these points and your account may get blocked if you do not stop this. Please check the guidelines here – Forum point Policy – https://www.askiitians.com/forum-point-policy/
 
Thanks
Forum Team

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