Context You must determine the type of surface for an unloading ramp, which is used to lower packages. Choose a material that will be slippery enough to let the packages down, but not so slippery that the packages stay still! Also, to ensure the solidity of the ramp, we want to know the force exerted by the package on the latter. Constraints The mass of the packages is known. The angle of inclination of the ramp is known. The frictional force between the package and the ramp depends on the surface, but it is known. Schematization
Just enough friction
Context
You must determine the type of surface for an unloading ramp, which is used to lower packages. Choose a material that will be slippery enough to let the packages down, but not so slippery that the packages stay still! Also, to ensure the solidity of the ramp, we want to know the force exerted by the package on the latter.
Constraints
The mass of the packages is known.
The angle of inclination of the ramp is known.
The frictional force between the package and the ramp depends on the surface, but it is known.
Schematization
Draw a diagram of the object that interests us. Draw your x and y axes. Draw and name each force experienced by the object that interests us.
Modelization
Design a model giving the down-ramp acceleration for the package, given the known parameters. Next, find a model to calculate the normal force that the ramp exerts on the package, again based on the known parameters. Then test your model with the following parameters:
Package mass: 5.5 kg
Ramp angle: 15 degrees
Modulus of friction: 4.5 N
Step by step
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