Block A of mass m/2 is connected to one end of light rope which passes over pulley as in fig. Man of mass m climbs the other end of rope with a relative acceleration g/6 w.r.t rope find tension in the rope? let m=18kg & g=10m/s2
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Let 'a' be the acceleration of man And 'A' be acceleration of block So
A+a=g/6
Hence making equations we get T-mg/2=mA/2-----1st equation
T-mg=ma--------2nd equation
Solving this you will get T=13mg/18
m=18kg
g=10m/s^2
T=13×10×18/18 =130N