question_answer 8)

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

Answer:

Here, \[m=50\,kg;\] Max. extension, \[y=20-0=20\,cm=0.2\,m;\,T=0.6\,s;\] Max. Force, \[F=mg=50\times N\] \[\text{B=}\sqrt{\text{2}}\text{cm}\] \[\frac{\text{Bsin }\!\!\alpha\!\!\text{ }}{\text{Bcos }\!\!\alpha\!\!\text{ }}\text{=}\frac{\text{1}}{\text{1}}\] As, \[\tan \alpha =1\] \[\text{ }\!\!\alpha\!\!\text{ = }\!\!\pi\!\!\text{ /4}\] \[\text{5 }\!\!\pi\!\!\text{ /4}\] \[0\cdot 60\] Weight of body \[9\cdot 8\] \[=219.1\,N=22.36\,\,kgf\]