Find the acceleration of the body if a force `F=8 N` pulls the string at `P` that passes over the body and it is connected by another string to a rigid support at `Q`.
(Take radius of gyration `k=2/(sqrt(3)) m, R=2m,r=1m,` and mass of the body `m=3kg)`

Explanation

`a=alphaR`
`F-T=ma`
Torque about `C`

`TR-Fr=Ialpha`
`implies TR-Fr=mk^(2)a/R`
Pure the value of `T` from eqn i
`(F-ma)R-Fr=(mk^(2)a)/R`
`F(R-r)=a[(mk^(2))/R+mR]impliesa=(FR(R-r))/((k^(2)+R^(2))m)`
`=(8xx2xx(2-1))/((4/3+4)xx3)=(8xx2xx1)/(4xx4/3xx3)=1m//s^(2)`