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arcticf0x

  • 2 years ago

What is the deflection of a spring? As in this question A ball of mass 2kg is dropped from a height if 20cm on a spring of stiffness k=1225 N/m. Find the maximum deflection of the spring.

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  1. gogind
    • 2 years ago
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    Use the law of conservation of energy. Potential energy of the object with mass m at the height h is equal to \[\ E=mgh\] and the potential energy of a spring is equal to \[\ E_{spring}=\frac{1}{2}kx^2\] where k - spring constant, x - displacement Since all the gravitational potential energy will be transformed to the spring potential energy, its quite easy to figure out the displacement from this two equations :D.

  2. arcticf0x
    • 2 years ago
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    Wow thats it! Awesome! This gives x=8cm. Thats the maximum deflection right? Thanks a lot!

  3. gogind
    • 2 years ago
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    yes it is.

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