What equations are needed to solve this wheelchair kinetics problem?

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SUMMARY

The discussion focuses on solving a wheelchair kinetics problem involving a combined mass of 80 kg and rear wheel specifications including a mass of 1.6 kg and a moment of inertia of 0.1 kgm². The maximum acceleration without slippage and front wheel separation is determined by analyzing forces and moments, specifically using the equation of motion Ftot = f2 - f1 = ma. Key to the solution is understanding the relationship between linear forces, moments, and contact forces in the context of the wheelchair's geometry.

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  • Ability to analyze free body diagrams (FBD)
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Homework Statement


A man is pushing the wheelchair having combined mass of 80kg with center of gravity at CG. The mass of each rear wheel is 1.6 kg and moment of inertia 0.1kgm^2. Friction coefficient for all wheels 0.6 . Find maximum acceleration of the wheelchair without slippage between the wheel and ground and without separation of front wheel from the ground. Ind propulsion force applied by hand to make such acceleration.

Homework Equations


Considering separate FBD of one rear wheel the equation of moment about point O can be used.

The Attempt at a Solution


First I considered total force in x -direction:
Ftot = f2-f1=ma to find max acceleration. But to find the propulsion force I don't know which equation is relevant
 

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Instead of trying to remember which equations to use, try to identify the kinds of processes that are involved - then relate them to the geometry of the wheelchair.
You can see that you will need both linear forces and moments to properly analyse this situation.
You will also want to have some expression for the contact forces involved.
 

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