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1 March, 10:06

What is the deflection of a spring? 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. 1 March, 10:14
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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 = 1/2 k x^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

    E = mgh

    E = 2*9.8*0.2

    E = 3.92

    E=1/2kx^2

    E=1/2*1225*X^2

    3.92*2=1225*X^2

    0.0064=X^2

    X=0.08 m or 8 cm
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