An old machine for lifting heavy blocks used a crank and counterweight to lift heavy blocks. The $25\mathrm{.}0$ kg arm of the machine is $4\mathrm{.}50$ m long and is pinned at the middle. A person cranks a winch at the end of the arm, and a cable pulls the block H upward until the arm is at an angle of $24\mathrm{.}0.$ The cable has a tension of $2178$ N$.$ The counterweight is $1\mathrm{.}15$m from the pivot point and has a mass of $100$ kg