Practical Question about Forces

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To approximate the force exerted on a 16cm diameter wheel traveling over a bump, factors such as the bump's shape, height, and the wheel's velocity are crucial. The force varies as the wheel moves over the bump, with maximum force dependent on specific conditions. While computer simulation programs could provide detailed insights, there is interest in finding simpler, accessible methods for approximation. Approximating the bump's shape and peak could aid in estimating the force without complex simulations. Overall, understanding these variables is essential for accurate force calculations.
dekoi
I need to approximate how much force is exerted on a 16cm diameter wheel (assume it's rigid and doesn't absorb force) upon traveling over an average sized bump (relative to its diameter).

Does anyone have a suggestion on a method to do this?
 
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I would say that it depends entirely on the velocity and shape the bump. The force exerted on the wheel will continue to change as the wheel moves over the bump. Where the max occurs and how much this max is depend on situation. Sounds like something computer simulation programs would be useful for.
 
Is there any approximation I can make at all without using computer simulation (unless it's easy to use and free to download)? What if I approximated the shape and peak of the bump as well?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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