A uniform circular disc of mass 12 kg is held by two identical springs. When the disc is slightly pressed down and released, it executes S.H.M. of period 2 second. The force constant of each spring is

Question

A uniform circular disc of mass 12 kg is held by two identical springs. When the disc is slightly pressed down and released, it executes S.H.M. of period 2 second. The force constant of each spring is (nearly) (Take π 2 = 10 )

TestHub · Accepted Answer

The two springs are connected in parallel. So, the effective spring constant is, k eff ​ = 2 k Time period of the spring system is, ∴ T 2 ∴ k ​ T = 2 π 2 k m ​ ​ = 4 π 2 × 2 k m ​ = 4 π 2 × 2 T 2 m ​ = 4 × 10 × 2 × 4 12 ​ = 60 N / m ​

Physics - NLM Question with Solution | TestHub

Options:

Doubts & Discussion