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In the system shown in figure all surfac...

In the system shown in figure all surface are smooth, string is massless and inextensible. Find:
(a) acceleration of the system
(b) tension in the string and
(c) extension in the spring if force constant of spring is
`k=50N/m` (Take `g=10m//s^(2)`)

Text Solution

Verified by Experts

(a) In this case net pulling force `=m_(a)g+m(B)g=50N` and total mass to be pulled is (1+2+3) kg = 6 kg.
`therefore` Acceleration of the system is a `=50/6ms^(-2)`
(b) Free body diagram of 1 kg blick give T `=ma=(1)((50)/(6))N=50/6N`
(c ) Free body diagram of 3 kg block gives
30 - kx = ma but `ma=3xx50/6=25N`
`x=(30-25)/(k)=5/50=0.1m=10cm`
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