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A spring is used to stop a 60 kg package which is moving down a 30 degree incline. The spring has a constant k=25000N/m and is held by cable so that it is initially compressed 0.06m. Knowing that the...

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A spring is used to stop a 60 kg package which is moving down a 30 degree incline. The spring has a constant k=25000N/m and is held by cable so that it is initially compressed 0.06m. Knowing that the velocity of the package is 3 m/sec when it is 9 m from the spring and the coefficient of kinetic friction between the package and the surface is 0.1, determine the maximum additional deformation of the spring in bringing the package to rest.
Answered Same Day Dec 20, 2021

Solution

David answered on Dec 20 2021
122 Votes
TTs070712_Jos33579_5
Q. A spring is used to stop a 60 kg package which is moving down a 30 degree incline. The
spring has a constant k=25000N/m and is held by cable so that it is initially compressed 0.06m.
Knowing that the velocity of the package is 3 m/sec when it is 9 m from the spring and the
coefficient of kinetic friction between the package and the surface is 0.1, determine the
maximum additional deformation of the spring in
inging the package to rest.
Solution:
m = 60 kg Ɵ =30° K = 25000 N/m u = 3 m/s s = 9 m µk =...
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