Suppose the ceiling in the previous problem is that the elevator which is going up with an acceleration of `2.0 m/s^2`. Find the elongations.

Explanation

Given, `M=2k, k= 100 N/m

From the free body diagram………….
kl-2g=0`
`rarr kl=2g`
`rarr l (2g)/k= (2xx9.8)/100`
`=19.6/100=0.196~~0.2m`
Suppose further elongation happens when 1 kg block is added be x.
`Then k(l+x)=3g`
`rarr Kkx= 3g-2g=9.8N`
`rarr (2g)/k= (2xx9.8)/100`
` =19.6/100 = 0.098 = 0.1 m`.