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Question

A particle of mass m is attached to three springs A,B and C of equal force constants k as shown in figure. If the particle is pushed slightly against the spring C and released, the time period of oscillation is
1215905_f14eda316aee45868ff31a529a335ce7.png
  1. 2πmk
  2. 2πm2k
  3. 2πm3k
  4. 2π3mk

A
2π3mk
B
2πm2k
C
2πm3k
D
2πmk
Solution
Verified by Toppr

Fnet=FA+FBcos450+FCcos450
=ky+2kycos450=ky+2k(ycos450)cos450=2ky
Fnet=kyky=2kyk=2k
T=2πmk=2πm2k
Hence,
option (B) is correct answer.

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