Before I start defining the situation and asking a question, I'd like to make a few things clear:
- this is not a homework, merely a matter of personal interest and enthusiasm
- I am neither a physicist, nor a native English speaker, therefore I encourage anyone with proper knowledge to go ahead and edit anything in my post to correct/improve any terminology, thread title including
I'd like to start with an image I created for this purpose, I hope I didn't make any huge mistakes in it. So, here's the situation:
We have a biker weighing m1 riding a bicycle weighing m2, therefore the total weight m = m1 + m2.
The biker is driving at a constant speed of v and is about to jump down from a higher ground to a lower ground, while the total height he's jumping, the height difference of those two grounds is h.
According to how fast he's going and how high he's jumping from, he'll jump a distance d.
The question: What's the biker's weight at the moment of landing with which he's "pushing" the bicycle down? As I'm not a physicist and I'm not sure what's the proper term, I'll try to form it like this:
I know what the maximum weight the bicycle can hold is according to the manufacturer and I need to calculate whether I will exceed this limit when performing such a jump.
Things to consider: I believe there are many factors which can't be counted with properly, therefore
I think, and now correct me if I'm wrong:
- that we can assume that the forward speed when landing will be the same as the forward speed before jumping. Of course it won't, but I believe this speed will not drop so much, so possibly we can ignore it
- I believe there's a huge difference between locking one's joints and dropping with a rigid body versus using the proper technique, keeping joints free and flexing one's arms and legs to absorb the mass of landing. I don't know how it'd be possible to include this factor to the calculation, I'll let people decide.
Feel free to propose anything I forgot to include in my question, and again, if anyone who can edit posts can improve anything I wrote, please, don't hesitate and do so.