Question

A man is raising himself and the crate on which he stands with an acceleration of $5m{s}^{-2}$ by a massless rope-and-pulley arrangement. Mass of the man is $100kg$ and that of a crate is 50kg. IF $g=10m{s}^{-2}$, then the tension in the rope is:

• A. $2250N$
• B. $1125N$
• C. $750N$
• D. $375N$

Answer 1

The correct option is B $1125N$

When the man applies a force of $T$, the string creates equal $T$ on the string, The same $T$ acts on the create also, as shown in figure.

$\therefore$ Net force acting on the system is $2T$.

$\Rightarrow 2T-150\times g=150\times 5$

$\Rightarrow T=1125N$.