Write out N2L for each side and solve for a and TSolutionlet

Write out N2L for each side and solve for a and T.

Solution

let us take acceleration due to gravity(g)=10m/s²

from mass m_{2 :}

_{1.1*10-T =1.1*a.....(1)}

_{from masss m1:}

_{T-1.0*10 = 1.0*a-------(2)}

^{_{(1)+(2) =}}

^_1=2.1*a

^{_{a=1/2.1 =0.4761m/s}2}

^(1)-(2)=

^{1-2*T = 0.1*a}

^{2*T = 1 -0.1*0.4678}

^{T =0.9523/2 = 0.4761 NM}