A mass of $6\text{ kg}$ is suspended by a rope of length $2 \text{ m}$ from the ceiling. Assuming $g=10 \text{ m s}^{-1}$, force of $60 \text{ N}$ is applied on the object in the direction of floor from ceiling.

Now, I am taught that $F=\frac{\Delta P}{\Delta t}$, where $P$ is momentum, $t$ is time and $F$ is force. But, $F{\Delta t}=\Delta P$ says that with passage of time, change in momentum should increase!! This is contrary to the assumption that mass is tied and stationary (as well as contrary to observations like ceiling fan over my head has zero momentum unless I switch it on.)

Please help me understand where I went wrong.