One body is suspended from a spring of length ‘l’, spring constant ‘k’ and has time period T. Now if a spring is divided in two equal parts which are joined in parallel and the same body is suspended from this arrangement then determine new time period.

Question

Arun · Answer

spring constant of spring of length L is K....

now k is inversly proportional to length ..

so , K₂/K₁ = L₁/L₂

from here we can compare force constant of two different lengths of wire of same material..

let force constant of each half is k¹ after cutting then

k¹/k = L/(L/2)

k¹ = 2k

both of these parts are connected parallel so net force constant = 2k+2k=4k

I thnk now you can solve.

Regards

Arun (askIITians forum expert)

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

One body is suspended from a spring of length ‘l’, spring constant ‘k’ and has time period T. Now if a spring is divided in two equal parts which are joined in parallel and the same body is suspended from this arrangement then determine new time period.

One body is suspended from a spring of length ‘l’, spring constant ‘k’ and has time period T. Now if a spring is divided in two equal parts which are joined in parallel and the same body is suspended from this arrangement then determine new time period.

1 Answers

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on Wave Motion

ASK QUESTION

Answer and earn gift vouchers

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship