Moment / CG question regarding a bicycle

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This discussion focuses on calculating the moment force and center of gravity (CG) for a bicycle with a specific weight distribution while riding at 2 m/s. The front wheel exerts 400N and the rear wheel exerts 560N on the ground. To determine if the rear of the bicycle will lift off the ground when the front brake is locked, one must calculate the moment about the front axle and consider the static coefficient of friction. The CG can be established by balancing the moments produced by the total weight against the rear weight, summing them about the front axle.

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Hi,

Lets say that we have a 2 wheel bicycle riding at 2m/s. The weight distribution on this bicycle implies that the front wheel is exerting a total of 400N on the ground, whilst the back is exerting 560N.

How would I work out whether at this speed if I were to lock up the front brake, provided it didn’t skid, the rear of the bicycle would lift off the ground?

How would I work out the moment force… Where would I be measuring to… where would I define the CG (centre of gravity) to be?

I am working on an investigation and ANY help would be greatly appreciated!

Thanks in advance.
 
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You need to find the moment about the front axle, and assume a static coefficient of friction. The CG can be found by finding the equal moment the total weight produced compared to just the rear, summing them about the front.
 

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