Moment / CG question regarding a bicycle

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To determine if locking the front brake at 2m/s would lift the rear of the bicycle off the ground, one must calculate the moment about the front axle. The center of gravity (CG) can be defined by balancing the moments created by the weight distribution of the bicycle, with the front wheel exerting 400N and the rear 560N. Assuming a static coefficient of friction is necessary for accurate calculations. By summing the moments about the front axle, the CG can be identified, allowing for a clear understanding of the forces at play. This analysis is crucial for the investigation into the bicycle's dynamics under braking conditions.
JohnNova
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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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