A $60 k g$ man standing on a massless weighing machine, placed on a $20 k g$ plank keeps himself stable by pulling the ropes $B$ , $C$ as shown in figure. Assume the ropes and pulleys are light and neglect friction at all the surfaces. The plank remains horizontal. To keep himself stable, the man has to apply a total force of N on ropes $B$ and $C$ , the reading of the weighing machine then is $k g$ .

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Solution

Mass of man $m = 60 k g$
mass of plank $= 20 k g$
$T^{'} = 2 T$
$N_{m p} + T + T^{'} = m g$
$N_{m p} + 3 T = m g$
$5 T = N_{m p} + 200$
$N_{m p} + 3 T = 600$
$8 T = 800$
$T = 100 N$ man apply total force of $300 N$
$N_{m p} = 300 N$
$R e a d i n g = 30 K g$

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as shown in the figure. Assume the ropes and pulleys are light and neglect friction at all the surfaces. The plank remains horizontal. To keep himself stable, the man has to apply a total force of ......

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Mass of man m=60kgmass of plank=20kgT′=2TNmp+T+T′=mgNmp+3T=mg5T=Nmp+200Nmp+3T=6008T=800T=100N man apply total force of 300NNmp=300NReading=30Kg

Mass of man $m = 60 k g$
mass of plank $= 20 k g$
$T^{'} = 2 T$
$N_{m p} + T + T^{'} = m g$
$N_{m p} + 3 T = m g$
$5 T = N_{m p} + 200$
$N_{m p} + 3 T = 600$
$8 T = 800$
$T = 100 N$ man apply total force of $300 N$
$N_{m p} = 300 N$
$R e a d i n g = 30 K g$