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  • A system shown in Fig can move on a smooth surface. They are initially compressed by 6 cm and then released<img alt="" src="https://cdn.entrance360.com/media/uploads/2018/05/22/1528-1st.jpeg"

A system shown in Fig can move on a smooth surface. They are initially compressed by 6 cm and then released

Option: 1

System perform SHM with t = \frac{\pi}{10} s


Option: 2

The time period of 2 block are in ratio 1 : \sqrt2


Option: 3

System perform SHM with t = \frac{\pi}{5} s


Option: 4

System perform SHM with t = \frac{\pi}{15} s


Answers (1)

best_answer

As we had learnt in 

Oscillation of two - particle system -

T=2\pi \sqrt{\frac{\mu }{K}}

- wherein

where \mu = \frac{m_{1}m_{2}}{m_{1}+m_{2}} is called reduced mass.

K is spring constant

 

M = reduced mass = \frac{m_{1}m_{2}}{m_{1}+m_{2}} = 2\;kg

T = 2\pi\sqrt{\frac{M}{K}} \Rightarrow 2\pi\sqrt{\frac{2}{800}} = \frac{\pi}{10}\;s


 

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