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At a mail sorting facility, packages slide down a ramp but are stopped part way down the ramp so that they can be scanned. While the packages are scanned, they are held in place by a horizontal force from a spring$-$loaded arm.

The ramp makes an angle of $=35\mathrm{.}5$ with the horizontal.

The package has a mass of $3\mathrm{.}75$ kg $.$ The coefficient of static friction between the ramp and the package is $0\mathrm{.}425.$

Calculate the minimum force $F_{\text{m}\text{i}\text{n}}$ that this arm must apply to hold a package on the ramp.

$F_{\text{m}\text{i}\text{n}}=$ubrace$(ubrace{)}_{\text{I}\text{n}\text{c}\text{o}\text{r}\text{r}\text{e}\text{c}\text{t}\text{A}\text{n}\text{s}\text{w}\text{e}\text{r}}N$