Question

A spring is hung vertically, and an object of mass m₁= 1 kg attached at lower end stretches the spring to position x₁= 20 cm.  When the mass increases to m₂ =1.5 kg the spring stretches to new position x₂ = 33 cm. What is the period of the spring-mass system when a mass of 2 kg attached to it? Hint, use x₁, x₂ , m₁ ,m₂ to find spring constant k and use the value of  k to find the period  of spring-mass system with mass = 2kg.

Answer 1

Equi uilibrium Ri= mg Gravitational (Spring force force 4,- 200m mig K= 1 kg Jeg m T=21 When mass increases to my = 15 kg then H = 23 cm k % = 0.33m them KE m₂ 걸 k= 1.5 X g. 8 0:33 = 44.54 T= 20 m2 2x3.10X - 1-5 44.14 K T= 1.15 second