Question

In the given figure at the free end of the light string, a force $F$ is applied to keep the suspended mass of $18kg$ at rest. Assuming pulley is light and frictionless, then the force exerted by the ceiling on the system is

• A. $120$ $N$
• B. $360$ $N$
• C. $240$ $N$
• D. $60$ $N$

Answer 1

The correct option is C $240$ $N$

Here, $3T=18g=18\left(10\right)=180$
$\therefore T=60N$
also $F=T=60N$
$\therefore$ The total force exerted by the ceiling on the system $=F+T+T+T=60+60+60+60=240N$