MHT CET202314 May 2023Evening ShiftPhysicsLaws of MotionActual
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 ^2=10 )
Options
- A230 Nm ⁻¹
- B120 Nm ⁻¹
- C60 Nm ⁻¹
- D30 Nm ⁻¹
Correct answer
C. 60 Nm ⁻¹
Step-by-step solution
The two springs are connected in parallel. So, the effective spring constant is, k _ eff =2 k Time period of the spring system is, aligned & T =2 m 2 k T ^2 & =4 ^2 m 2 k k & =4 ^2 m 2 ~T ^2 =4 10 12 2 4 =60 ~N / m aligned