At a mail sorting facility, packages slide down a ramp but are stopped part way
ID: 2141013 • Letter: A
Question
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, spring-loaded arm. Calculate the force that must be applied by this arm to hold a package on the ramp. The ramp is at an angle of 35.5
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, spring-loaded arm. Calculate the force that must be applied by this arm to hold a package on the ramp. The ramp is at an angle of 35.5 degree with the horizontal. The package has a mass of 7.25 kg. The coefficient of static friction between the ramp and the package is 0.405.Explanation / Answer
The force pulling the package down the ramp is the component of the weight in the direction of the ramp: Fw = m*g*sin?
The component of the spring force in the direction of the ramp is Fs = Fa*cos?.
Before the package starts to move, this force will be aided by the frictional force, which is Fr =
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