A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this spring, when displaced and released, oscillates with period of 0.60 s. What is the weight of the body ?

A spring balance has a scale that reads from 0 to 50 kg. The length of

1.	A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this spring, when displaced and released, oscillates with period of 0.60 s. What is the weight of the body ?
Answer» Solution :Here, m= 50KG, MAX extension, `y= 20-0- 20CM = 0.2 cm , T= 0.6s, `Max .Force , `F= mg= 50 xx 9.8N` `:. K= (F)/(y)= (50 xx 9.8)/(0.2)= 2450Nm^(-1)` therefore As `T= 2pisqrt((m)/(k)), m= (T^(2)k)/(4pi^(2))= ((0.6)^(2)xx 2450)/(4 xx (3.14)^(2))= 22.36 kg` `:.` weight of body = `mg = 22.36 xx 9.8 = 219 .1 N`