The scale of a spring balance which can measure from 0 to 15   kg is 0 . 25   m long. If a body…

The scale of a spring balance which can measure from 0 to 15 kg is 0.25 m long. If a body suspended from this balance oscillates with a time period 2π5 seconds, neglecting the mass of the spring, find the mass of the body suspended.
  1. 24kg
  2. 1kg
  3. 20kg
  4. 7kg

Solution

The spring constant of the spring is, k=Fx=15×100.25=600 N m-1

Time period of oscillations, T=2πmk

⇒2π5=2πm600

⇒15=1m600

⇒125=m600

⇒m=60025=24 kg

Asked in: AP EAMCET 2021 (19 Aug Shift 2)

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