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How to calculate the impact force of the falling weight

Publish: 2021-05-01 20:17:29
1. There is no definite formula. Analyze according to the topic
the force analysis of the object should be done first. When the object moves at a constant speed, the external force on the object is zero. If the air friction is not taken into account, the resistance of general objects is the sliding friction with the ground. At this time, the sliding friction is equal to and opposite to other forces on the object. Then the forces in both directions add up to zero. So we're going to move at a constant speed for zero
2. Let the velocity v = (2GH) ^ 1 / 2 of an object with mass n fall freely from high h, and the velocity decreases to 0 after time T
the orientation is positive
(f-mg) t = 0 - (- MV)
F = Mg + m (2GH) ^ 1 / 2 / T
impact force F = Mg + m (2GH) ^ 1 / 2 / T
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7. If the air resistance is neglected, the energy conservation is MGH = (1 / 2) MV & # 178;, The final velocity V of the object is obtained, and then the impulse theorem is used to get ft = Δ MV, where t is the contact time between the object and the ground. It can be seen that the longer the time is, the smaller the force is. This is also the reason why the elastic object can buffer.
8. According to: impulse = momentum
ft = MV
t is the time from the object touching the ground to the object standing still, that is, the time of ground deformation
m is the mass of the object
V is the velocity in contact with the ground, that is, the initial velocity of ground deformation

m is known, V can be calculated, and T has different values for different ground and objects (steel ball falling on cement and mud, rubber ball falling on cement and mud), which is difficult to calculate. We need the empirical data of the final deformation and the deformation variables of the object and the ground at the time of landing!
9. It should be able to calculate: impact force of free falling body = body gravity + touchdown impulse
body gravity = Mg (i.e. body mass x gravity acceleration (9.8))
touchdown impulse = m * √ 2GH (M is the mass, 2GH under the root sign, G is the acceleration of gravity 9.8, h is the height of free fall)
so it should be able to calculate
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