- #1
Spinnor
Gold Member
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Say we have a rectangular wire frame about 7 inches in size, see:
http://www.schillereng.com/EggDrop1.jpg
Let an egg of mass m, say 40g, be suspended in some type of "seat" as in the above jpg. with rubber bands going from the the eight corners of the frame to the egg seat. Let us say the force acting on the egg when it is displaced a distance x from the center of the frame goes as F = kx. Let us say the drop height is h.
Assume when the frame above hits the ground it maintains its shape. Let us require the egg move only a distance x, about 5 cm when the frame hits the ground.
With this information can we use conservation of energy to get an approximate value of k via:
m*v^2/2 = mgh = k*x^2/2 , energy of the egg gets converted into energy of the stretched rubber? Solving for k gives us an idea of the required force on the egg seat when it is streched 5 cm?
Thanks for any help.
http://www.schillereng.com/EggDrop1.jpg
Let an egg of mass m, say 40g, be suspended in some type of "seat" as in the above jpg. with rubber bands going from the the eight corners of the frame to the egg seat. Let us say the force acting on the egg when it is displaced a distance x from the center of the frame goes as F = kx. Let us say the drop height is h.
Assume when the frame above hits the ground it maintains its shape. Let us require the egg move only a distance x, about 5 cm when the frame hits the ground.
With this information can we use conservation of energy to get an approximate value of k via:
m*v^2/2 = mgh = k*x^2/2 , energy of the egg gets converted into energy of the stretched rubber? Solving for k gives us an idea of the required force on the egg seat when it is streched 5 cm?
Thanks for any help.