In order to raise a mass of 100 ,kg a man of mass 60 ,kg fastens … - Vidyadip

MCQ

In order to raise a mass of $100\,kg$ a man of mass $60\,kg$ fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with an acceleration $5g/4$ relative to the rope. The tension in the rope is ....... $N$. $(g = 10\,m/s^2)$

A
$1432$
B
$928$
✓
$1218$
D
$642$

✓

Answer

Correct option: C.

$1218$

c
$\mathrm{T}-100 \mathrm{g}=100 \mathrm{a}$ $...(i)$

$\mathrm{T}-60 \mathrm{g}=60\left(\frac{5 \mathrm{g}}{4}-\mathrm{a}\right)$ $...(ii)$

from $(i)$ and $(ii)$

$\mathrm{T}=1218 \mathrm{N}$

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