O Macmillan Learning 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 0= 41.5° with the horizontal. The package has a mass of 8.25 kg. The coefficient of static friction between the ramp and the package is 0.385. Calculate the minimum force Fmiet hold a package on the ramp. that this arm must apply to Fmin = N

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Chapter1: Units, Trigonometry. And Vectors
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At a mail sorting facility, packages slide down a ramp but are stopped partway 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 \( \theta = 41.5^\circ \) with the horizontal. The package has a mass of 8.25 kg. The coefficient of static friction between the ramp and the package is 0.385.

Calculate the minimum force \( F_{\text{min}} \) that this arm must apply to hold a package on the ramp.

\[ F_{\text{min}} = \, \]

**Diagram:**
The diagram illustrates a block on an inclined plane with a horizontal force applied to it. The angle \( \theta \) between the ramp and the horizontal is marked.
Transcribed Image Text:At a mail sorting facility, packages slide down a ramp but are stopped partway 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 \( \theta = 41.5^\circ \) with the horizontal. The package has a mass of 8.25 kg. The coefficient of static friction between the ramp and the package is 0.385. Calculate the minimum force \( F_{\text{min}} \) that this arm must apply to hold a package on the ramp. \[ F_{\text{min}} = \, \] **Diagram:** The diagram illustrates a block on an inclined plane with a horizontal force applied to it. The angle \( \theta \) between the ramp and the horizontal is marked.
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